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149718240 = 2533574951
BaseRepresentation
bin10001110110010…
…00010011100000
3101102201110211000
420323020103200
5301311440430
622504552000
73465404220
oct1073102340
9342643730
10149718240
117756a591
1242182600
1325030899
1415c54080
15d225e60
hex8ec84e0

149718240 has 192 divisors, whose sum is σ = 598993920. Its totient is φ = 34214400.

The previous prime is 149718221. The next prime is 149718277. The reversal of 149718240 is 42817941.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 149718195 and 149718204.

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 31 ways as a sum of consecutive naturals, for example, 27765 + ... + 32715.

It is an arithmetic number, because the mean of its divisors is an integer number (3119760).

Almost surely, 2149718240 is an apocalyptic number.

149718240 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 149718240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299496960).

149718240 is an abundant number, since it is smaller than the sum of its proper divisors (449275680).

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

149718240 is a wasteful number, since it uses less digits than its factorization.

149718240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 149718240 is about 12235.9405032878. The cubic root of 149718240 is about 530.9963930937.

The spelling of 149718240 in words is "one hundred forty-nine million, seven hundred eighteen thousand, two hundred forty".