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20275164 = 22337132063
BaseRepresentation
bin100110101010…
…1111111011100
31102011002022000
41031111333130
520142301124
62002322300
7334223160
oct115257734
942132260
1020275164
1110499038
126959390
13427b750
14299aca0
151ba76c9
hex1355fdc

20275164 has 96 divisors (see below), whose sum is σ = 64727040. Its totient is φ = 5344704.

The previous prime is 20275163. The next prime is 20275181. The reversal of 20275164 is 46157202.

It is a super-2 number, since 2×202751642 = 822164550453792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20275163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8797 + ... + 10859.

It is an arithmetic number, because the mean of its divisors is an integer number (674240).

Almost surely, 220275164 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 20275164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32363520).

20275164 is an abundant number, since it is smaller than the sum of its proper divisors (44451876).

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

20275164 is a wasteful number, since it uses less digits than its factorization.

20275164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20275164 is about 4502.7951319153. The cubic root of 20275164 is about 272.6809459493.

The spelling of 20275164 in words is "twenty million, two hundred seventy-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2063 2457 3276 4126 4914 6189 8252 9828 12378 14441 18567 24756 26819 28882 37134 43323 53638 55701 57764 74268 80457 86646 107276 111402 129969 160914 173292 187733 222804 241371 259938 321828 375466 389907 482742 519876 563199 724113 750932 779814 965484 1126398 1448226 1559628 1689597 2252796 2896452 3379194 5068791 6758388 10137582 20275164