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187968340 = 22571638237
BaseRepresentation
bin10110011010000…
…10101101010100
3111002200210002101
423031002231110
5341104441330
630352451444
74441463440
oct1315025524
9432623071
10187968340
119711543a
1252b49b84
132cc33a91
141ad6d820
151177e4ca
hexb342b54

187968340 has 48 divisors (see below), whose sum is σ = 453946752. Its totient is φ = 64043136.

The previous prime is 187968329. The next prime is 187968359. The reversal of 187968340 is 43869781.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 18702 + ... + 26938.

It is an arithmetic number, because the mean of its divisors is an integer number (9457224).

Almost surely, 2187968340 is an apocalyptic number.

187968340 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 187968340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226973376).

187968340 is an abundant number, since it is smaller than the sum of its proper divisors (265978412).

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

187968340 is a wasteful number, since it uses less digits than its factorization.

187968340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8416 (or 8414 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 187968340 is about 13710.1546307837. The cubic root of 187968340 is about 572.8332721341.

The spelling of 187968340 in words is "one hundred eighty-seven million, nine hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163 326 652 815 1141 1630 2282 3260 4564 5705 8237 11410 16474 22820 32948 41185 57659 82370 115318 164740 230636 288295 576590 1153180 1342631 2685262 5370524 6713155 9398417 13426310 18796834 26852620 37593668 46992085 93984170 187968340