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83011104 = 25321126203
BaseRepresentation
bin1001111001010…
…10011000100000
312210012101211100
410330222120200
5132222323404
612123114400
72025403611
oct474523040
9183171740
1083011104
1142948520
1223972a00
1314275ac7
14b04bc08
15744ad39
hex4f2a620

83011104 has 72 divisors (see below), whose sum is σ = 257532912. Its totient is φ = 25153920.

The previous prime is 83011069. The next prime is 83011111. The reversal of 83011104 is 40111038.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9934 + ... + 16269.

It is an arithmetic number, because the mean of its divisors is an integer number (3576846).

Almost surely, 283011104 is an apocalyptic number.

It is an amenable number.

83011104 is an abundant number, since it is smaller than the sum of its proper divisors (174521808).

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

83011104 is a wasteful number, since it uses less digits than its factorization.

83011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26230 (or 26219 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 83011104 is about 9111.0429699349. The cubic root of 83011104 is about 436.2265186607.

The spelling of 83011104 in words is "eighty-three million, eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 26203 52406 78609 104812 157218 209624 235827 288233 314436 419248 471654 576466 628872 838496 864699 943308 1152932 1257744 1729398 1886616 2305864 2515488 2594097 3458796 3773232 4611728 5188194 6917592 7546464 9223456 10376388 13835184 20752776 27670368 41505552 83011104