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189319095 = 32572233733
BaseRepresentation
bin10110100100011…
…00011110110111
3111012020101222100
423102030132313
5341431202340
630441433143
74456120500
oct1322143667
9435211870
10189319095
1197958269
125349b7b3
13302b7844
141b201ba7
1511949830
hexb48c7b7

189319095 has 72 divisors (see below), whose sum is σ = 398432736. Its totient is φ = 82760832.

The previous prime is 189319037. The next prime is 189319129. The reversal of 189319095 is 590913981.

It is not a de Polignac number, because 189319095 - 211 = 189317047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 189319095.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48849 + ... + 52581.

It is an arithmetic number, because the mean of its divisors is an integer number (5533788).

Almost surely, 2189319095 is an apocalyptic number.

189319095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

189319095 is an abundant number, since it is smaller than the sum of its proper divisors (209113641).

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

189319095 is a wasteful number, since it uses less digits than its factorization.

189319095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The square root of 189319095 is about 13759.3275635112. The cubic root of 189319095 is about 574.2021397916.

The spelling of 189319095 in words is "one hundred eighty-nine million, three hundred nineteen thousand, ninety-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 49 63 69 105 115 147 161 207 245 315 345 441 483 735 805 1035 1127 1449 2205 2415 3381 3733 5635 7245 10143 11199 16905 18665 26131 33597 50715 55995 78393 85859 130655 167985 182917 235179 257577 391965 429295 548751 601013 772731 914585 1175895 1287885 1646253 1803039 2743755 3005065 3863655 4207091 5409117 8231265 9015195 12621273 21035455 27045585 37863819 63106365 189319095