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16313904 = 2432193587
BaseRepresentation
bin111110001110…
…111000110000
31010200211110200
4332032320300
513134021104
61341355200
7255444255
oct76167060
933624420
1016313904
119232972
125568b00
1334c26c9
14224942c
151673b39
hexf8ee30

16313904 has 60 divisors (see below), whose sum is σ = 45971016. Its totient is φ = 5400576.

The previous prime is 16313903. The next prime is 16313909. The reversal of 16313904 is 40931361.

It is a super-2 number, since 2×163139042 = 532286927442432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16313903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27499 + ... + 28085.

Almost surely, 216313904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16313904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22985508).

16313904 is an abundant number, since it is smaller than the sum of its proper divisors (29657112).

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

16313904 is a wasteful number, since it uses less digits than its factorization.

16313904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 16313904 is about 4039.0474124476. The cubic root of 16313904 is about 253.6214419935.

The spelling of 16313904 in words is "sixteen million, three hundred thirteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 579 587 772 1158 1174 1544 1737 1761 2316 2348 3088 3474 3522 4632 4696 5283 6948 7044 9264 9392 10566 13896 14088 21132 27792 28176 42264 84528 113291 226582 339873 453164 679746 906328 1019619 1359492 1812656 2039238 2718984 4078476 5437968 8156952 16313904