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20657376 = 253323909
BaseRepresentation
bin100111011001…
…1010011100000
31102212111121000
41032303103200
520242014001
62014432000
7340404405
oct116632340
942774530
1020657376
111072a213
126b02600
1343836cc
142a5a2ac
151c30a86
hex13b34e0

20657376 has 48 divisors (see below), whose sum is σ = 60253200. Its totient is φ = 6885504.

The previous prime is 20657347. The next prime is 20657383. The reversal of 20657376 is 67375602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20657376.

It is a congruent number.

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, 11091 + ... + 12818.

It is an arithmetic number, because the mean of its divisors is an integer number (1255275).

Almost surely, 220657376 is an apocalyptic number.

It is an amenable number.

20657376 is an abundant number, since it is smaller than the sum of its proper divisors (39595824).

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

20657376 is a wasteful number, since it uses less digits than its factorization.

20657376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23928 (or 23914 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 20657376 is about 4545.0386136974. The cubic root of 20657376 is about 274.3837484390.

The spelling of 20657376 in words is "twenty million, six hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 23909 47818 71727 95636 143454 191272 215181 286908 382544 430362 573816 645543 765088 860724 1147632 1291086 1721448 2295264 2582172 3442896 5164344 6885792 10328688 20657376