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191970864 = 2433894993
BaseRepresentation
bin10110111000100…
…11111000110000
3111101020010112000
423130103320300
5343121031424
631014334000
74520503551
oct1334237060
9441203460
10191970864
11993a9608
125435a300
1330a05837
141b6d2328
1511cc03c9
hexb713e30

191970864 has 80 divisors (see below), whose sum is σ = 557330400. Its totient is φ = 63258624.

The previous prime is 191970847. The next prime is 191970871. The reversal of 191970864 is 468079191.

It is a happy number.

191970864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35952 + ... + 40944.

It is an arithmetic number, because the mean of its divisors is an integer number (6966630).

Almost surely, 2191970864 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 191970864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278665200).

191970864 is an abundant number, since it is smaller than the sum of its proper divisors (365359536).

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

191970864 is a wasteful number, since it uses less digits than its factorization.

191970864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 191970864 is about 13855.3550658220. The cubic root of 191970864 is about 576.8706451304.

The spelling of 191970864 in words is "one hundred ninety-one million, nine hundred seventy thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 178 216 267 356 432 534 712 801 1068 1424 1602 2136 2403 3204 4272 4806 4993 6408 9612 9986 12816 14979 19224 19972 29958 38448 39944 44937 59916 79888 89874 119832 134811 179748 239664 269622 359496 444377 539244 718992 888754 1078488 1333131 1777508 2156976 2666262 3555016 3999393 5332524 7110032 7998786 10665048 11998179 15997572 21330096 23996358 31995144 47992716 63990288 95985432 191970864