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149532480 = 26365641
BaseRepresentation
bin10001110100110…
…10111101000000
3101102101001000000
420322122331000
5301240014410
622501000000
73464001516
oct1072327500
9342331000
10149532480
1177452a69
12420b3000
1324c97176
1415c064b6
15d1dadc0
hex8e9af40

149532480 has 196 divisors, whose sum is σ = 534699972. Its totient is φ = 39813120.

The previous prime is 149532479. The next prime is 149532511. The reversal of 149532480 is 84235941.

149532480 is a `hidden beast` number, since 1 + 49 + 532 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98724096 + 50808384 = 9936^2 + 7128^2 .

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 27 ways as a sum of consecutive naturals, for example, 232960 + ... + 233600.

Almost surely, 2149532480 is an apocalyptic number.

149532480 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 149532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267349986).

149532480 is an abundant number, since it is smaller than the sum of its proper divisors (385167492).

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

149532480 is an frugal number, since it uses more digits than its factorization.

149532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 149532480 is about 12228.3473944765. The cubic root of 149532480 is about 530.7766943839.

The spelling of 149532480 in words is "one hundred forty-nine million, five hundred thirty-two thousand, four hundred eighty".