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20752864 = 25111929107
BaseRepresentation
bin100111100101…
…0100111100000
31110001100120121
41033022213200
520303042424
62020450024
7341252656
oct117124740
943040517
1020752864
1110794a30
126b49914
1343b8002
142a82dd6
151c4dee4
hex13ca9e0

20752864 has 96 divisors (see below), whose sum is σ = 48988800. Its totient is φ = 8547840.

The previous prime is 20752843. The next prime is 20752873. The reversal of 20752864 is 46825702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193899 + ... + 194005.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 220752864 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 20752864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494400).

20752864 is an abundant number, since it is smaller than the sum of its proper divisors (28235936).

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

20752864 is a wasteful number, since it uses less digits than its factorization.

20752864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 20752864 is about 4555.5311435660. The cubic root of 20752864 is about 274.8058751190.

The spelling of 20752864 in words is "twenty million, seven hundred fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 29 32 38 44 58 76 88 107 116 152 176 209 214 232 304 319 352 418 428 464 551 608 638 836 856 928 1102 1177 1276 1672 1712 2033 2204 2354 2552 3103 3344 3424 4066 4408 4708 5104 6061 6206 6688 8132 8816 9416 10208 12122 12412 16264 17632 18832 22363 24244 24824 32528 34133 37664 44726 48488 49648 58957 65056 68266 89452 96976 99296 117914 136532 178904 193952 235828 273064 357808 471656 546128 648527 715616 943312 1092256 1297054 1886624 2594108 5188216 10376432 20752864