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149454720 = 27355312
BaseRepresentation
bin10001110100001…
…11111110000000
3101102020002100000
420322013332000
5301230022340
622455200000
73463226022
oct1072077600
9342202300
10149454720
11773aa5a8
1242076000
1324c6a95c
1415bc6012
15d1c2d30
hex8e87f80

149454720 has 288 divisors, whose sum is σ = 553021560. Its totient is φ = 38568960.

The previous prime is 149454709. The next prime is 149454727. The reversal of 149454720 is 27454941.

It is a happy number.

149454720 is a `hidden beast` number, since 1 + 4 + 94 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149454727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4821105 + ... + 4821135.

Almost surely, 2149454720 is an apocalyptic number.

149454720 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 149454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276510780).

149454720 is an abundant number, since it is smaller than the sum of its proper divisors (403566840).

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

149454720 is an frugal number, since it uses more digits than its factorization.

149454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 149454720 is about 12225.1674835153. The cubic root of 149454720 is about 530.6846734573.

The spelling of 149454720 in words is "one hundred forty-nine million, four hundred fifty-four thousand, seven hundred twenty".