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380130192 = 243313113599
BaseRepresentation
bin10110101010000…
…101001110010000
3222111021121121000
4112222011032100
51234303131232
6101415302000
712264024201
oct2652051620
9874247530
10380130192
11185634492
12a737a900
13609a5510
14386b15a8
152358b27c
hex16a85390

380130192 has 160 divisors (see below), whose sum is σ = 1187424000. Its totient is φ = 115734528.

The previous prime is 380130161. The next prime is 380130211. The reversal of 380130192 is 291031083.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634309 + ... + 634907.

It is an arithmetic number, because the mean of its divisors is an integer number (7421400).

Almost surely, 2380130192 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 380130192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593712000).

380130192 is an abundant number, since it is smaller than the sum of its proper divisors (807293808).

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

380130192 is a wasteful number, since it uses less digits than its factorization.

380130192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 380130192 is about 19496.9277579828. The cubic root of 380130192 is about 724.3983542872.

The spelling of 380130192 in words is "three hundred eighty million, one hundred thirty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 113 117 144 156 208 216 226 234 312 339 351 432 452 468 599 624 678 702 904 936 1017 1198 1356 1404 1469 1797 1808 1872 2034 2396 2712 2808 2938 3051 3594 4068 4407 4792 5391 5424 5616 5876 6102 7188 7787 8136 8814 9584 10782 11752 12204 13221 14376 15574 16173 16272 17628 21564 23361 23504 24408 26442 28752 31148 32346 35256 39663 43128 46722 48816 52884 62296 64692 67687 70083 70512 79326 86256 93444 105768 124592 129384 135374 140166 158652 186888 203061 210249 211536 258768 270748 280332 317304 373776 406122 420498 541496 560664 609183 634608 812244 840996 879931 1082992 1121328 1218366 1624488 1681992 1759862 1827549 2436732 2639793 3248976 3363984 3519724 3655098 4873464 5279586 7039448 7310196 7919379 9746928 10559172 14078896 14620392 15838758 21118344 23758137 29240784 31677516 42236688 47516274 63355032 95032548 126710064 190065096 380130192