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20355768 = 23322691051
BaseRepresentation
bin100110110100…
…1101010111000
31102022011212100
41031221222320
520202341033
62004143400
7335010156
oct115515270
942264770
1020355768
1110543654
126997b60
1342a9344
1429bc3d6
151bc1513
hex1369ab8

20355768 has 48 divisors (see below), whose sum is σ = 55387800. Its totient is φ = 6753600.

The previous prime is 20355757. The next prime is 20355773. The reversal of 20355768 is 86755302.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18843 + ... + 19893.

Almost surely, 220355768 is an apocalyptic number.

It is an amenable number.

20355768 is an abundant number, since it is smaller than the sum of its proper divisors (35032032).

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

20355768 is a wasteful number, since it uses less digits than its factorization.

20355768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 20355768 is about 4511.7366944448. The cubic root of 20355768 is about 273.0418162408.

The spelling of 20355768 in words is "twenty million, three hundred fifty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 269 538 807 1051 1076 1614 2102 2152 2421 3153 3228 4204 4842 6306 6456 8408 9459 9684 12612 18918 19368 25224 37836 75672 282719 565438 848157 1130876 1696314 2261752 2544471 3392628 5088942 6785256 10177884 20355768