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149497920 = 2633511313
BaseRepresentation
bin10001110100100…
…10100001000000
3101102022021121000
420322102201000
5301232413140
622500132000
73463465665
oct1072224100
9342267530
10149497920
117742a000
1242097000
1324c84510
1415bd7a6c
15d1d0a30
hex8e92840

149497920 has 448 divisors, whose sum is σ = 624718080. Its totient is φ = 33454080.

The previous prime is 149497919. The next prime is 149497921. The reversal of 149497920 is 29794941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (149497919) and next prime (149497921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149497921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11499834 + ... + 11499846.

It is an arithmetic number, because the mean of its divisors is an integer number (1394460).

Almost surely, 2149497920 is an apocalyptic number.

149497920 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 149497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312359040).

149497920 is an abundant number, since it is smaller than the sum of its proper divisors (475220160).

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

149497920 is a wasteful number, since it uses less digits than its factorization.

149497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 149497920 is about 12226.9342028163. The cubic root of 149497920 is about 530.7358001338.

The spelling of 149497920 in words is "one hundred forty-nine million, four hundred ninety-seven thousand, nine hundred twenty".