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20852964 = 2234115851
BaseRepresentation
bin100111110001…
…1000011100100
31110020102220000
41033203003210
520314243324
62022541300
7342150546
oct117430344
943212800
1020852964
1110853160
126b97830
134421742
142aab696
151c6d9c9
hex13e30e4

20852964 has 60 divisors (see below), whose sum is σ = 59479728. Its totient is φ = 6318000.

The previous prime is 20852947. The next prime is 20852971. The reversal of 20852964 is 46925802.

It is a happy number.

It is a super-2 number, since 2×208529642 = 869692215170592, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 639 + ... + 6489.

Almost surely, 220852964 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 20852964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29739864).

20852964 is an abundant number, since it is smaller than the sum of its proper divisors (38626764).

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

20852964 is a wasteful number, since it uses less digits than its factorization.

20852964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 20852964 is about 4566.5045713324. The cubic root of 20852964 is about 275.2470023209.

The spelling of 20852964 in words is "twenty million, eight hundred fifty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 5851 11702 17553 23404 35106 52659 64361 70212 105318 128722 157977 193083 210636 257444 315954 386166 473931 579249 631908 772332 947862 1158498 1737747 1895724 2316996 3475494 5213241 6950988 10426482 20852964