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18890656 = 2531137139
BaseRepresentation
bin100100000001…
…1111110100000
31022112202002221
41020003332200
514314000111
61512520424
7316365541
oct110037640
938482087
1018890656
11a732914
1263b0114
133bb5505
14271a4c8
1519d2371
hex1203fa0

18890656 has 48 divisors (see below), whose sum is σ = 38949120. Its totient is φ = 9008640.

The previous prime is 18890611. The next prime is 18890671. The reversal of 18890656 is 65609881.

It is a super-2 number, since 2×188906562 = 713713768220672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135835 + ... + 135973.

It is an arithmetic number, because the mean of its divisors is an integer number (811440).

Almost surely, 218890656 is an apocalyptic number.

18890656 is a gapful number since it is divisible by the number (16) 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 18890656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19474560).

18890656 is an abundant number, since it is smaller than the sum of its proper divisors (20058464).

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

18890656 is a wasteful number, since it uses less digits than its factorization.

18890656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 18890656 is about 4346.3382289003. The cubic root of 18890656 is about 266.3272960645.

The spelling of 18890656 in words is "eighteen million, eight hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 124 137 139 248 274 278 496 548 556 992 1096 1112 2192 2224 4247 4309 4384 4448 8494 8618 16988 17236 19043 33976 34472 38086 67952 68944 76172 135904 137888 152344 304688 590333 609376 1180666 2361332 4722664 9445328 18890656