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149889960 = 233351123137
BaseRepresentation
bin10001110111100…
…10001110101000
3101110001012101000
420323302032220
5301332434320
622512355000
73500020653
oct1073621650
9343035330
10149889960
1177677600
1242245a60
1325090aac
1415c9a89a
15d25bc90
hex8ef23a8

149889960 has 384 divisors, whose sum is σ = 582220800. Its totient is φ = 34214400.

The previous prime is 149889953. The next prime is 149889967. The reversal of 149889960 is 69988941.

149889960 is a `hidden beast` number, since 1 + 498 + 8 + 99 + 60 = 666.

149889960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149889953) and next prime (149889967).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 149889897 and 149889906.

It is not an unprimeable number, because it can be changed into a prime (149889967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4051062 + ... + 4051098.

It is an arithmetic number, because the mean of its divisors is an integer number (1516200).

Almost surely, 2149889960 is an apocalyptic number.

149889960 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 149889960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291110400).

149889960 is an abundant number, since it is smaller than the sum of its proper divisors (432330840).

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

149889960 is a wasteful number, since it uses less digits than its factorization.

149889960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 149889960 is about 12242.9555255257. The cubic root of 149889960 is about 531.1993250856.

The spelling of 149889960 in words is "one hundred forty-nine million, eight hundred eighty-nine thousand, nine hundred sixty".