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149031540 = 223257261277
BaseRepresentation
bin10001110001000…
…00101001110100
3101101102120211200
420320200221310
5301123002130
622442132500
73456514200
oct1070405164
9341376750
10149031540
1177140669
1241ab1130
1324b50158
1415b15b00
15d13c760
hex8e20a74

149031540 has 216 divisors, whose sum is σ = 536418792. Its totient is φ = 33384960.

The previous prime is 149031521. The next prime is 149031577. The reversal of 149031540 is 45130941.

149031540 is a `hidden beast` number, since 1 + 4 + 90 + 31 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3732624 + 145298916 = 1932^2 + 12054^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 537882 + ... + 538158.

Almost surely, 2149031540 is an apocalyptic number.

149031540 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 149031540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268209396).

149031540 is an abundant number, since it is smaller than the sum of its proper divisors (387387252).

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

149031540 is a wasteful number, since it uses less digits than its factorization.

149031540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 149031540 is about 12207.8474761114. The cubic root of 149031540 is about 530.1833233155.

The spelling of 149031540 in words is "one hundred forty-nine million, thirty-one thousand, five hundred forty".