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16868352 = 210317219
BaseRepresentation
bin100000001011…
…0010000000000
31011202000000210
41000112100000
513304241402
61401314120
7263243604
oct100262000
934660023
1016868352
119581496
125795940
133657b97
142351504
15173306c
hex1016400

16868352 has 132 divisors (see below), whose sum is σ = 50274320. Its totient is φ = 5013504.

The previous prime is 16868351. The next prime is 16868353. The reversal of 16868352 is 25386861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16868351) and next prime (16868353).

It is a self number, because there is not a number n which added to its sum of digits gives 16868352.

It is not an unprimeable number, because it can be changed into a prime (16868351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 887799 + ... + 887817.

Almost surely, 216868352 is an apocalyptic number.

16868352 is a gapful number since it is divisible by the number (12) 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 16868352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25137160).

16868352 is an abundant number, since it is smaller than the sum of its proper divisors (33405968).

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

16868352 is a wasteful number, since it uses less digits than its factorization.

16868352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 41 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 16868352 is about 4107.1099327873. The cubic root of 16868352 is about 256.4627048512.

The spelling of 16868352 in words is "sixteen million, eight hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 192 204 228 256 272 289 304 323 384 408 456 512 544 578 608 646 768 816 867 912 969 1024 1088 1156 1216 1292 1536 1632 1734 1824 1938 2176 2312 2432 2584 3072 3264 3468 3648 3876 4352 4624 4864 5168 5491 6528 6936 7296 7752 8704 9248 9728 10336 10982 13056 13872 14592 15504 16473 17408 18496 19456 20672 21964 26112 27744 29184 31008 32946 36992 41344 43928 52224 55488 58368 62016 65892 73984 82688 87856 110976 124032 131784 147968 165376 175712 221952 248064 263568 295936 330752 351424 443904 496128 527136 702848 887808 992256 1054272 1405696 2108544 2811392 4217088 5622784 8434176 16868352