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20182944 = 2531783149
BaseRepresentation
bin100110011111…
…1011110100000
31101222101210110
41030333132200
520131323234
62000331320
7333360255
oct114773640
941871713
1020182944
1110435821
126913b40
134248792
14297542c
151b8a1e9
hex133f7a0

20182944 has 96 divisors (see below), whose sum is σ = 57153600. Its totient is φ = 6213632.

The previous prime is 20182933. The next prime is 20182949. The reversal of 20182944 is 44928102.

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

It is not an unprimeable number, because it can be changed into a prime (20182949) 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, 135382 + ... + 135530.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 220182944 is an apocalyptic number.

20182944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20182944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28576800).

20182944 is an abundant number, since it is smaller than the sum of its proper divisors (36970656).

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

20182944 is a wasteful number, since it uses less digits than its factorization.

20182944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 20182944 is about 4492.5431550515. The cubic root of 20182944 is about 272.2668948915.

The spelling of 20182944 in words is "twenty million, one hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 83 96 102 136 149 166 204 249 272 298 332 408 447 498 544 596 664 816 894 996 1192 1328 1411 1632 1788 1992 2384 2533 2656 2822 3576 3984 4233 4768 5066 5644 7152 7599 7968 8466 10132 11288 12367 14304 15198 16932 20264 22576 24734 30396 33864 37101 40528 45152 49468 60792 67728 74202 81056 98936 121584 135456 148404 197872 210239 243168 296808 395744 420478 593616 630717 840956 1187232 1261434 1681912 2522868 3363824 5045736 6727648 10091472 20182944