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189412520 = 2351119139163
BaseRepresentation
bin10110100101000…
…11010010101000
3111012102011010112
423102203102220
5341442200040
630443433452
74456660043
oct1322432250
9435364115
10189412520
1197a11480
1253525888
133031b21b
141b227c5a
1511967365
hexb4a34a8

189412520 has 128 divisors (see below), whose sum is σ = 495936000. Its totient is φ = 64385280.

The previous prime is 189412481. The next prime is 189412523. The reversal of 189412520 is 25214981.

It is not an unprimeable number, because it can be changed into a prime (189412523) 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, 1161959 + ... + 1162121.

It is an arithmetic number, because the mean of its divisors is an integer number (3874500).

Almost surely, 2189412520 is an apocalyptic number.

189412520 is a gapful number since it is divisible by the number (10) 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 189412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247968000).

189412520 is an abundant number, since it is smaller than the sum of its proper divisors (306523480).

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

189412520 is a wasteful number, since it uses less digits than its factorization.

189412520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 189412520 is about 13762.7221144656. The cubic root of 189412520 is about 574.2965764941.

The spelling of 189412520 in words is "one hundred eighty-nine million, four hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 139 152 163 190 209 220 278 326 380 418 440 556 652 695 760 815 836 1045 1112 1304 1390 1529 1630 1672 1793 2090 2641 2780 3058 3097 3260 3586 4180 5282 5560 6116 6194 6520 7172 7645 8360 8965 10564 12232 12388 13205 14344 15290 15485 17930 21128 22657 24776 26410 29051 30580 30970 34067 35860 45314 52820 58102 61160 61940 68134 71720 90628 105640 113285 116204 123880 136268 145255 170335 181256 226570 232408 249227 272536 290510 340670 430483 453140 498454 581020 681340 860966 906280 996908 1162040 1246135 1362680 1721932 1993816 2152415 2492270 3443864 4304830 4735313 4984540 8609660 9470626 9969080 17219320 18941252 23676565 37882504 47353130 94706260 189412520