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1045975040 = 2125114643
BaseRepresentation
bin111110010110000…
…101000000000000
32200220012001000022
4332112011000000
54120232200130
6251442513012
734630432625
oct7626050000
92626161008
101045975040
11497475590
12252365768
13138916556
149ccb834c
1561c637e5
hex3e585000

1045975040 has 104 divisors (see below), whose sum is σ = 2738808288. Its totient is φ = 380272640.

The previous prime is 1045975039. The next prime is 1045975057. The reversal of 1045975040 is 405795401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222959 + ... + 227601.

Almost surely, 21045975040 is an apocalyptic number.

1045975040 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 1045975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369404144).

1045975040 is an abundant number, since it is smaller than the sum of its proper divisors (1692833248).

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

1045975040 is an equidigital number, since it uses as much as digits as its factorization.

1045975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 1045975040 is about 32341.5373784241. The cubic root of 1045975040 is about 1015.0959780466.

The spelling of 1045975040 in words is "one billion, forty-five million, nine hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 4096 4643 5120 5632 7040 9286 10240 11264 14080 18572 20480 22528 23215 28160 37144 45056 46430 51073 56320 74288 92860 102146 112640 148576 185720 204292 225280 255365 297152 371440 408584 510730 594304 742880 817168 1021460 1188608 1485760 1634336 2042920 2377216 2971520 3268672 4085840 4754432 5943040 6537344 8171680 9508864 11886080 13074688 16343360 19017728 23772160 26149376 32686720 47544320 52298752 65373440 95088640 104597504 130746880 209195008 261493760 522987520 1045975040