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20158272 = 263279443
BaseRepresentation
bin100110011100…
…1011101000000
31101221010221200
41030321131000
520130031042
62000021200
7333225321
oct114713500
941833850
1020158272
1110419232
126901800
13423a494
14296a448
151b82c4c
hex1339740

20158272 has 84 divisors (see below), whose sum is σ = 58643520. Its totient is φ = 6619392.

The previous prime is 20158261. The next prime is 20158283. The reversal of 20158272 is 27285102.

It is an interprime number because it is at equal distance from previous prime (20158261) and next prime (20158283).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45283 + ... + 45725.

Almost surely, 220158272 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 20158272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29321760).

20158272 is an abundant number, since it is smaller than the sum of its proper divisors (38485248).

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

20158272 is a wasteful number, since it uses less digits than its factorization.

20158272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 20158272 is about 4489.7964319109. The cubic root of 20158272 is about 272.1559083107.

The spelling of 20158272 in words is "twenty million, one hundred fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 144 158 192 237 288 316 443 474 576 632 711 886 948 1264 1329 1422 1772 1896 2528 2658 2844 3544 3792 3987 5056 5316 5688 7088 7584 7974 10632 11376 14176 15168 15948 21264 22752 28352 31896 34997 42528 45504 63792 69994 85056 104991 127584 139988 209982 255168 279976 314973 419964 559952 629946 839928 1119904 1259892 1679856 2239808 2519784 3359712 5039568 6719424 10079136 20158272