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1000090920 = 233553157247
BaseRepresentation
bin111011100111000…
…010110100101000
32120200211212211110
4323213002310220
54022010402140
6243123230320
733532426653
oct7347026450
92520755743
101000090920
11473586124
1223ab183a0
1312c26c69a
1496b7289a
155cbed380
hex3b9c2d28

1000090920 has 64 divisors (see below), whose sum is σ = 3056901120. Its totient is φ = 261657344.

The previous prime is 1000090919. The next prime is 1000090939. The reversal of 1000090920 is 290900001.

It is a happy number.

1000090920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72264 + ... + 84983.

It is an arithmetic number, because the mean of its divisors is an integer number (47764080).

Almost surely, 21000090920 is an apocalyptic number.

1000090920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000090920 is an abundant number, since it is smaller than the sum of its proper divisors (2056810200).

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

1000090920 is a wasteful number, since it uses less digits than its factorization.

1000090920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157314 (or 157310 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 1000090920 is about 31624.2141404336. The cubic root of 1000090920 is about 1000.0303057482.

Adding to 1000090920 its reverse (290900001), we get a palindrome (1290990921).

The spelling of 1000090920 in words is "one billion, ninety thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 157247 314494 471741 628988 786235 943482 1257976 1572470 1886964 2358705 3144940 3773928 4717410 6289880 8334091 9434820 16668182 18869640 25002273 33336364 41670455 50004546 66672728 83340910 100009092 125011365 166681820 200018184 250022730 333363640 500045460 1000090920