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20157156 = 2232372409
BaseRepresentation
bin100110011100…
…1001011100100
31101221002102100
41030321023210
520130012111
62000012100
7333222135
oct114711344
941832370
1020157156
1110418408
126901030
134239b16
142969c8c
151b82756
hex13392e4

20157156 has 54 divisors (see below), whose sum is σ = 52495170. Its totient is φ = 6521472.

The previous prime is 20157149. The next prime is 20157169. The reversal of 20157156 is 65175102.

It can be written as a sum of positive squares in 3 ways, for example, as 15872256 + 4284900 = 3984^2 + 2070^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49080 + ... + 49488.

Almost surely, 220157156 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 20157156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26247585).

20157156 is an abundant number, since it is smaller than the sum of its proper divisors (32338014).

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

20157156 is a wasteful number, since it uses less digits than its factorization.

20157156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 20157156 is about 4489.6721483868. The cubic root of 20157156 is about 272.1508858630.

The spelling of 20157156 in words is "twenty million, one hundred fifty-seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 409 444 666 818 1227 1332 1369 1636 2454 2738 3681 4107 4908 5476 7362 8214 12321 14724 15133 16428 24642 30266 45399 49284 60532 90798 136197 181596 272394 544788 559921 1119842 1679763 2239684 3359526 5039289 6719052 10078578 20157156