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149490180 = 223257217997
BaseRepresentation
bin10001110100100…
…00101000000100
3101102021212222100
420322100220010
5301232141210
622500032100
73463434300
oct1072205004
9342255870
10149490180
1177424204
1242092630
1324c80b38
1415bd4d00
15d1cd5c0
hex8e90a04

149490180 has 216 divisors, whose sum is σ = 559075608. Its totient is φ = 32126976.

The previous prime is 149490149. The next prime is 149490181. The reversal of 149490180 is 81094941.

149490180 is a `hidden beast` number, since 1 + 494 + 90 + 1 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57790404 + 91699776 = 7602^2 + 9576^2 .

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

It is not an unprimeable number, because it can be changed into a prime (149490181) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149442 + ... + 150438.

It is an arithmetic number, because the mean of its divisors is an integer number (2588313).

Almost surely, 2149490180 is an apocalyptic number.

149490180 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 149490180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279537804).

149490180 is an abundant number, since it is smaller than the sum of its proper divisors (409585428).

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

149490180 is a wasteful number, since it uses less digits than its factorization.

149490180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 149490180 is about 12226.6176843803. The cubic root of 149490180 is about 530.7266406619.

The spelling of 149490180 in words is "one hundred forty-nine million, four hundred ninety thousand, one hundred eighty".