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149685840 = 24335232131
BaseRepresentation
bin10001110110000…
…00011001010000
3101102122211101000
420323000121100
5301304421330
622504142000
73465210603
oct1073003120
9342584330
10149685840
1177548207
1242167900
132501bc05
1415c4633a
15d21b560
hex8ec0650

149685840 has 240 divisors, whose sum is σ = 543090240. Its totient is φ = 37889280.

The previous prime is 149685829. The next prime is 149685853. The reversal of 149685840 is 48586941.

149685840 is a `hidden beast` number, since 1 + 4 + 9 + 68 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1142575 + ... + 1142705.

It is an arithmetic number, because the mean of its divisors is an integer number (2262876).

Almost surely, 2149685840 is an apocalyptic number.

149685840 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 149685840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271545120).

149685840 is an abundant number, since it is smaller than the sum of its proper divisors (393404400).

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

149685840 is a wasteful number, since it uses less digits than its factorization.

149685840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 149685840 is about 12234.6164631344. The cubic root of 149685840 is about 530.9580866404.

The spelling of 149685840 in words is "one hundred forty-nine million, six hundred eighty-five thousand, eight hundred forty".