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19927968 = 253416183
BaseRepresentation
bin100110000000…
…1001110100000
31101111110000220
41030001032200
520100143333
61551043040
7331246014
oct114011640
941443026
1019927968
11102811a5
126810480
1341896c8
14290a544
151b398b3
hex13013a0

19927968 has 96 divisors (see below), whose sum is σ = 55121472. Its totient is φ = 6297600.

The previous prime is 19927939. The next prime is 19927969. The reversal of 19927968 is 86972991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 19927968.

It is not an unprimeable number, because it can be changed into a prime (19927969) 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, 240055 + ... + 240137.

It is an arithmetic number, because the mean of its divisors is an integer number (574182).

Almost surely, 219927968 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 19927968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27560736).

19927968 is an abundant number, since it is smaller than the sum of its proper divisors (35193504).

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

19927968 is a wasteful number, since it uses less digits than its factorization.

19927968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its digits is 489888, while the sum is 51.

The square root of 19927968 is about 4464.0752681827. The cubic root of 19927968 is about 271.1154947682.

It can be divided in two parts, 1992 and 7968, that multiplied together give a square (15872256 = 39842).

The spelling of 19927968 in words is "nineteen million, nine hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 61 82 83 96 122 123 164 166 183 244 246 249 328 332 366 488 492 498 656 664 732 976 984 996 1312 1328 1464 1952 1968 1992 2501 2656 2928 3403 3936 3984 5002 5063 5856 6806 7503 7968 10004 10126 10209 13612 15006 15189 20008 20252 20418 27224 30012 30378 40016 40504 40836 54448 60024 60756 80032 81008 81672 108896 120048 121512 162016 163344 207583 240096 243024 326688 415166 486048 622749 830332 1245498 1660664 2490996 3321328 4981992 6642656 9963984 19927968