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189555136 = 2629414753
BaseRepresentation
bin10110100110001…
…10000111000000
3111012200101202121
423103012013000
5342011231021
630450454024
74461122611
oct1323060700
9435611677
10189555136
1197aa9641
1253594314
133036b104
141b263c08
1511994741
hexb4c61c0

189555136 has 112 divisors (see below), whose sum is σ = 414771840. Its totient is φ = 85729280.

The previous prime is 189555131. The next prime is 189555139. The reversal of 189555136 is 631555981.

It is a super-2 number, since 2×1895551362 = 71862299167956992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 189555092 and 189555101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189555131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3576486 + ... + 3576538.

It is an arithmetic number, because the mean of its divisors is an integer number (3703320).

Almost surely, 2189555136 is an apocalyptic number.

189555136 is a gapful number since it is divisible by the number (16) 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 189555136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207385920).

189555136 is an abundant number, since it is smaller than the sum of its proper divisors (225216704).

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

189555136 is a wasteful number, since it uses less digits than its factorization.

189555136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its digits is 162000, while the sum is 43.

The square root of 189555136 is about 13767.9023819898. The cubic root of 189555136 is about 574.4406770230.

The spelling of 189555136 in words is "one hundred eighty-nine million, five hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 41 47 53 58 64 82 94 106 116 164 188 212 232 328 376 424 464 656 752 848 928 1189 1312 1363 1504 1537 1696 1856 1927 2173 2378 2491 2624 2726 3008 3074 3392 3854 4346 4756 4982 5452 6148 7708 8692 9512 9964 10904 12296 15416 17384 19024 19928 21808 24592 30832 34768 38048 39856 43616 49184 55883 61664 63017 69536 72239 76096 79712 87232 98368 102131 111766 123328 126034 139072 144478 159424 204262 223532 252068 288956 408524 447064 504136 577912 817048 894128 1008272 1155824 1634096 1788256 2016544 2311648 2961799 3268192 3576512 4033088 4623296 5923598 6536384 11847196 23694392 47388784 94777568 189555136