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188364680 = 23573121701
BaseRepresentation
bin10110011101000…
…11011110001000
3111010102220202122
423032203132020
5341210132210
630405150412
74445034110
oct1316433610
9433386678
10188364680
1197366199
12530bb408
13300422ba
141b034040
151180bb55
hexb3a3788

188364680 has 64 divisors (see below), whose sum is σ = 500014080. Its totient is φ = 62496000.

The previous prime is 188364661. The next prime is 188364713. The reversal of 188364680 is 86463881.

188364680 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, 2171 + ... + 19530.

It is an arithmetic number, because the mean of its divisors is an integer number (7812720).

Almost surely, 2188364680 is an apocalyptic number.

188364680 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 188364680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250007040).

188364680 is an abundant number, since it is smaller than the sum of its proper divisors (311649400).

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

188364680 is a wasteful number, since it uses less digits than its factorization.

188364680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21750 (or 21746 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 188364680 is about 13724.6012692537. The cubic root of 188364680 is about 573.2356046993.

The spelling of 188364680 in words is "one hundred eighty-eight million, three hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 21701 43402 86804 108505 151907 173608 217010 303814 434020 607628 672731 759535 868040 1215256 1345462 1519070 2690924 3038140 3363655 4709117 5381848 6076280 6727310 9418234 13454620 18836468 23545585 26909240 37672936 47091170 94182340 188364680