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1045650540 = 2235112731973
BaseRepresentation
bin111110010100110…
…101110001101100
32200212120112212210
4332110311301230
54120141304130
6251431530420
734624611564
oct7624656154
92625515783
101045650540
11497273800
12252229a10
1313883193c
149cc31da4
1561bec5b0
hex3e535c6c

1045650540 has 144 divisors (see below), whose sum is σ = 3263922144. Its totient is φ = 249891840.

The previous prime is 1045650533. The next prime is 1045650547. The reversal of 1045650540 is 450565401.

1045650540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1045650533) and next prime (1045650547).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1045650498 and 1045650507.

It is not an unprimeable number, because it can be changed into a prime (1045650547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528994 + ... + 530966.

It is an arithmetic number, because the mean of its divisors is an integer number (22666126).

Almost surely, 21045650540 is an apocalyptic number.

1045650540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045650540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631961072).

1045650540 is an abundant number, since it is smaller than the sum of its proper divisors (2218271604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1045650540 is a wasteful number, since it uses less digits than its factorization.

1045650540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 1045650540 is about 32336.5202209514. The cubic root of 1045650540 is about 1014.9909937968.

The spelling of 1045650540 in words is "one billion, forty-five million, six hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 73 110 121 132 146 165 219 220 242 292 330 363 365 438 484 605 660 726 730 803 876 1095 1210 1452 1460 1606 1815 1973 2190 2409 2420 3212 3630 3946 4015 4380 4818 5919 7260 7892 8030 8833 9636 9865 11838 12045 16060 17666 19730 21703 23676 24090 26499 29595 35332 39460 43406 44165 48180 52998 59190 65109 86812 88330 105996 108515 118380 130218 132495 144029 176660 217030 238733 260436 264990 288058 325545 432087 434060 477466 529980 576116 651090 716199 720145 864174 954932 1193665 1302180 1432398 1440290 1584319 1728348 2160435 2387330 2864796 2880580 3168638 3580995 4320870 4752957 4774660 6337276 7161990 7921595 8641740 9505914 14323980 15843190 17427509 19011828 23764785 31686380 34855018 47529570 52282527 69710036 87137545 95059140 104565054 174275090 209130108 261412635 348550180 522825270 1045650540