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20187024 = 243111317173
BaseRepresentation
bin100110100000…
…0011110010000
31101222121101120
41031000132100
520131441044
62000402240
7333405204
oct115003620
941877346
1020187024
11104388a0
126916380
13424a5b0
142976b04
151b8b519
hex1340790

20187024 has 160 divisors (see below), whose sum is σ = 65245824. Its totient is φ = 5283840.

The previous prime is 20187023. The next prime is 20187043. The reversal of 20187024 is 42078102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20186985 and 20187003.

It is not an unprimeable number, because it can be changed into a prime (20187023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116602 + ... + 116774.

Almost surely, 220187024 is an apocalyptic number.

20187024 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 20187024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32622912).

20187024 is an abundant number, since it is smaller than the sum of its proper divisors (45058800).

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

20187024 is a wasteful number, since it uses less digits than its factorization.

20187024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 20187024 is about 4492.9972178936. The cubic root of 20187024 is about 272.2852399867.

The spelling of 20187024 in words is "twenty million, one hundred eighty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 17 22 24 26 33 34 39 44 48 51 52 66 68 78 88 102 104 132 136 143 156 173 176 187 204 208 221 264 272 286 312 346 374 408 429 442 519 528 561 572 624 663 692 748 816 858 884 1038 1122 1144 1326 1384 1496 1716 1768 1903 2076 2244 2249 2288 2431 2652 2768 2941 2992 3432 3536 3806 4152 4488 4498 4862 5304 5709 5882 6747 6864 7293 7612 8304 8823 8976 8996 9724 10608 11418 11764 13494 14586 15224 17646 17992 19448 22836 23528 24739 26988 29172 30448 32351 35292 35984 38233 38896 45672 47056 49478 53976 58344 64702 70584 74217 76466 91344 97053 98956 107952 114699 116688 129404 141168 148434 152932 194106 197912 229398 258808 296868 305864 388212 395824 420563 458796 517616 593736 611728 776424 841126 917592 1187472 1261689 1552848 1682252 1835184 2523378 3364504 5046756 6729008 10093512 20187024