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1045060440 = 2335107199409
BaseRepresentation
bin111110010010100…
…101101101011000
32200211110120102020
4332102211231120
54120013413230
6251411134440
734616603304
oct7622455530
92624416366
101045060440
11496a00416
12251ba4420
13138686178
149cb1ad04
1561b32810
hex3e4a5b58

1045060440 has 128 divisors (see below), whose sum is σ = 3188160000. Its totient is φ = 274019328.

The previous prime is 1045060421. The next prime is 1045060441. The reversal of 1045060440 is 440605401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1045060440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045060441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2554956 + ... + 2555364.

It is an arithmetic number, because the mean of its divisors is an integer number (24907500).

Almost surely, 21045060440 is an apocalyptic number.

1045060440 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 1045060440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594080000).

1045060440 is an abundant number, since it is smaller than the sum of its proper divisors (2143099560).

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

1045060440 is a wasteful number, since it uses less digits than its factorization.

1045060440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1045060440 is about 32327.3945748803. The cubic root of 1045060440 is about 1014.8000253145.

Adding to 1045060440 its reverse (440605401), we get a palindrome (1485665841).

The spelling of 1045060440 in words is "one billion, forty-five million, sixty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 199 214 321 398 409 428 535 597 642 796 818 856 995 1070 1194 1227 1284 1592 1605 1636 1990 2045 2140 2388 2454 2568 2985 3210 3272 3980 4090 4280 4776 4908 5970 6135 6420 7960 8180 9816 11940 12270 12840 16360 21293 23880 24540 42586 43763 49080 63879 81391 85172 87526 106465 127758 131289 162782 170344 175052 212930 218815 244173 255516 262578 319395 325564 350104 406955 425860 437630 488346 511032 525156 638790 651128 656445 813910 851720 875260 976692 1050312 1220865 1277580 1312890 1627820 1750520 1953384 2441730 2555160 2625780 3255640 4883460 5251560 8708837 9766920 17417674 26126511 34835348 43544185 52253022 69670696 87088370 104506044 130632555 174176740 209012088 261265110 348353480 522530220 1045060440