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187115968 = 2613239941
BaseRepresentation
bin10110010011100…
…10100111000000
3111001002110212001
423021302213000
5340400202333
630322313344
74431313414
oct1311624700
9431073761
10187115968
1196692aa6
12527b8854
132c9c5b10
141abcad44
1511661b7d
hexb2729c0

187115968 has 56 divisors (see below), whose sum is σ = 401970240. Its totient is φ = 85908480.

The previous prime is 187115959. The next prime is 187115983. The reversal of 187115968 is 869511781.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198378 + ... + 199318.

It is an arithmetic number, because the mean of its divisors is an integer number (7178040).

Almost surely, 2187115968 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 187115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200985120).

187115968 is an abundant number, since it is smaller than the sum of its proper divisors (214854272).

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

187115968 is a wasteful number, since it uses less digits than its factorization.

187115968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1195 counting only the distinct ones).

The product of its digits is 120960, while the sum is 46.

The square root of 187115968 is about 13679.0338840139. The cubic root of 187115968 is about 571.9660925016.

The spelling of 187115968 in words is "one hundred eighty-seven million, one hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 239 416 478 832 941 956 1882 1912 3107 3764 3824 6214 7528 7648 12233 12428 15056 15296 24466 24856 30112 48932 49712 60224 97864 99424 195728 198848 224899 391456 449798 782912 899596 1799192 2923687 3598384 5847374 7196768 11694748 14393536 23389496 46778992 93557984 187115968