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187048680 = 233572132447
BaseRepresentation
bin10110010011000…
…10001011101000
3111000222001112220
423021202023220
5340341024210
630321034040
74430613300
oct1311421350
9430861486
10187048680
1196647495
1252785920
132c9a12c0
141abb0600
151164bc70
hexb2622e8

187048680 has 192 divisors, whose sum is σ = 703261440. Its totient is φ = 39449088.

The previous prime is 187048663. The next prime is 187048769. The reversal of 187048680 is 86840781.

187048680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75217 + ... + 77663.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2187048680 is an apocalyptic number.

187048680 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 187048680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351630720).

187048680 is an abundant number, since it is smaller than the sum of its proper divisors (516212760).

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

187048680 is a wasteful number, since it uses less digits than its factorization.

187048680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 187048680 is about 13676.5741324354. The cubic root of 187048680 is about 571.8975234940.

The spelling of 187048680 in words is "one hundred eighty-seven million, forty-eight thousand, six hundred eighty".