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18685056 = 2731319197
BaseRepresentation
bin100011101000…
…1110010000000
31022011022002010
41013101302000
514240410211
61504252520
7314551245
oct107216200
938138063
1018685056
11a6023a5
126311140
133b42a60
1426a55cc
1519914a6
hex11d1c80

18685056 has 128 divisors (see below), whose sum is σ = 56548800. Its totient is φ = 5419008.

The previous prime is 18685049. The next prime is 18685067. The reversal of 18685056 is 65058681.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 94750 + ... + 94946.

Almost surely, 218685056 is an apocalyptic number.

18685056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18685056 is the 2496-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18685056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28274400).

18685056 is an abundant number, since it is smaller than the sum of its proper divisors (37863744).

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

18685056 is a wasteful number, since it uses less digits than its factorization.

18685056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 18685056 is about 4322.6214268659. The cubic root of 18685056 is about 265.3575617099.

The spelling of 18685056 in words is "eighteen million, six hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 197 208 228 247 304 312 384 394 416 456 494 591 608 624 741 788 832 912 988 1182 1216 1248 1482 1576 1664 1824 1976 2364 2432 2496 2561 2964 3152 3648 3743 3952 4728 4992 5122 5928 6304 7296 7486 7683 7904 9456 10244 11229 11856 12608 14972 15366 15808 18912 20488 22458 23712 25216 29944 30732 31616 37824 40976 44916 47424 48659 59888 61464 75648 81952 89832 94848 97318 119776 122928 145977 163904 179664 194636 239552 245856 291954 327808 359328 389272 479104 491712 583908 718656 778544 983424 1167816 1437312 1557088 2335632 3114176 4671264 6228352 9342528 18685056