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1045527420 = 2235713917909
BaseRepresentation
bin111110010100010…
…111101101111100
32200212100021222210
4332110113231330
54120123334140
6251425140420
734623556620
oct7624275574
92625307883
101045527420
1149719a253
1225218a710
131387ba8a2
149cbdd180
1561bc5d80
hex3e517b7c

1045527420 has 96 divisors (see below), whose sum is σ = 3369945600. Its totient is φ = 237245184.

The previous prime is 1045527391. The next prime is 1045527467. The reversal of 1045527420 is 247255401.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49426 + ... + 67334.

It is an arithmetic number, because the mean of its divisors is an integer number (35103600).

Almost surely, 21045527420 is an apocalyptic number.

1045527420 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 1045527420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684972800).

1045527420 is an abundant number, since it is smaller than the sum of its proper divisors (2324418180).

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

1045527420 is a wasteful number, since it uses less digits than its factorization.

1045527420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18067 (or 18065 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 1045527420 is about 32334.6164350221. The cubic root of 1045527420 is about 1014.9511555681.

The spelling of 1045527420 in words is "one billion, forty-five million, five hundred twenty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 139 140 210 278 417 420 556 695 834 973 1390 1668 1946 2085 2780 2919 3892 4170 4865 5838 8340 9730 11676 14595 17909 19460 29190 35818 53727 58380 71636 89545 107454 125363 179090 214908 250726 268635 358180 376089 501452 537270 626815 752178 1074540 1253630 1504356 1880445 2489351 2507260 3760890 4978702 7468053 7521780 9957404 12446755 14936106 17425457 24893510 29872212 34850914 37340265 49787020 52276371 69701828 74680530 87127285 104552742 149361060 174254570 209105484 261381855 348509140 522763710 1045527420