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20132928 = 263361191
BaseRepresentation
bin100110011001…
…1010001000000
31101212212012000
41030303101000
520123223203
61555304000
7333061404
oct114632100
941785160
1020132928
1110401192
1268ab000
13422ba9a
142961104
151b7a4a3
hex1333440

20132928 has 112 divisors (see below), whose sum is σ = 60472320. Its totient is φ = 6566400.

The previous prime is 20132923. The next prime is 20132933. The reversal of 20132928 is 82923102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20132923) and next prime (20132933).

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

It is not an unprimeable number, because it can be changed into a prime (20132923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105313 + ... + 105503.

Almost surely, 220132928 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 20132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30236160).

20132928 is an abundant number, since it is smaller than the sum of its proper divisors (40339392).

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

20132928 is a wasteful number, since it uses less digits than its factorization.

20132928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20132928 is about 4486.9731445597. The cubic root of 20132928 is about 272.0418044166.

The spelling of 20132928 in words is "twenty million, one hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 144 183 191 192 216 244 288 366 382 432 488 549 573 576 732 764 864 976 1098 1146 1464 1528 1647 1719 1728 1952 2196 2292 2928 3056 3294 3438 3904 4392 4584 5157 5856 6112 6588 6876 8784 9168 10314 11651 11712 12224 13176 13752 17568 18336 20628 23302 26352 27504 34953 35136 36672 41256 46604 52704 55008 69906 82512 93208 104859 105408 110016 139812 165024 186416 209718 279624 314577 330048 372832 419436 559248 629154 745664 838872 1118496 1258308 1677744 2236992 2516616 3355488 5033232 6710976 10066464 20132928