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149406720 = 2103571137
BaseRepresentation
bin10001110011111…
…00010000000000
3101102010122111020
420321330100000
5301222003340
622454145440
73462636051
oct1071742000
9342118436
10149406720
1177377531
1242052280
1324c51b58
1415bb2728
15d1b39d0
hex8e7c400

149406720 has 176 divisors, whose sum is σ = 488135808. Its totient is φ = 38993920.

The previous prime is 149406713. The next prime is 149406721. The reversal of 149406720 is 27604941.

It is a happy number.

It is a super-3 number, since 3×1494067203 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (149406721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1090492 + ... + 1090628.

Almost surely, 2149406720 is an apocalyptic number.

149406720 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 149406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244067904).

149406720 is an abundant number, since it is smaller than the sum of its proper divisors (338729088).

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

149406720 is a wasteful number, since it uses less digits than its factorization.

149406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 149406720 is about 12223.2041625754. The cubic root of 149406720 is about 530.6278544826.

The spelling of 149406720 in words is "one hundred forty-nine million, four hundred six thousand, seven hundred twenty".