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151870680 = 233351329373
BaseRepresentation
bin10010000110101…
…01110011011000
3101120202211102000
421003111303120
5302334330210
623023041000
73522610443
oct1103256330
9346684360
10151870680
11787aa765
1242a40160
1325605510
141625465a
15d4edac0
hex90d5cd8

151870680 has 256 divisors, whose sum is σ = 565488000. Its totient is φ = 35997696.

The previous prime is 151870637. The next prime is 151870703. The reversal of 151870680 is 86078151.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 406974 + ... + 407346.

Almost surely, 2151870680 is an apocalyptic number.

151870680 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 151870680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282744000).

151870680 is an abundant number, since it is smaller than the sum of its proper divisors (413617320).

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

151870680 is a wasteful number, since it uses less digits than its factorization.

151870680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 151870680 is about 12323.5822714014. The cubic root of 151870680 is about 533.5289369328.

The spelling of 151870680 in words is "one hundred fifty-one million, eight hundred seventy thousand, six hundred eighty".