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189392320 = 2651353859
BaseRepresentation
bin10110100100111…
…10010111000000
3111012101010102101
423102132113000
5341441023240
630443200144
74456544125
oct1322362700
9435333371
10189392320
11979a8287
1253516054
1330311c80
141b22074c
151196139a
hexb49e5c0

189392320 has 112 divisors (see below), whose sum is σ = 495421920. Its totient is φ = 68530176.

The previous prime is 189392311. The next prime is 189392347. The reversal of 189392320 is 23293981.

It is a self number, because there is not a number n which added to its sum of digits gives 189392320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220051 + ... + 220909.

It is an arithmetic number, because the mean of its divisors is an integer number (4423410).

Almost surely, 2189392320 is an apocalyptic number.

189392320 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 189392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247710960).

189392320 is an abundant number, since it is smaller than the sum of its proper divisors (306029600).

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

189392320 is a wasteful number, since it uses less digits than its factorization.

189392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 189392320 is about 13761.9882284501. The cubic root of 189392320 is about 574.2761603793.

The spelling of 189392320 in words is "one hundred eighty-nine million, three hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 64 65 80 104 106 130 160 208 212 260 265 320 416 424 520 530 689 832 848 859 1040 1060 1378 1696 1718 2080 2120 2756 3392 3436 3445 4160 4240 4295 5512 6872 6890 8480 8590 11024 11167 13744 13780 16960 17180 22048 22334 27488 27560 34360 44096 44668 45527 54976 55120 55835 68720 89336 91054 110240 111670 137440 178672 182108 220480 223340 227635 274880 357344 364216 446680 455270 591851 714688 728432 893360 910540 1183702 1456864 1786720 1821080 2367404 2913728 2959255 3573440 3642160 4734808 5918510 7284320 9469616 11837020 14568640 18939232 23674040 37878464 47348080 94696160 189392320