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149526960 = 243511219271
BaseRepresentation
bin10001110100110…
…01100110110000
3101102100202102120
420322121212300
5301234330320
622500514240
73463646442
oct1072314660
9342322376
10149526960
1177449900
12420ab980
1324c947bb
1415c04492
15d1d9440
hex8e999b0

149526960 has 240 divisors, whose sum is σ = 538298880. Its totient is φ = 34214400.

The previous prime is 149526931. The next prime is 149526967. The reversal of 149526960 is 69625941.

It is a happy number.

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

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (149526967) 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 47 ways as a sum of consecutive naturals, for example, 551625 + ... + 551895.

It is an arithmetic number, because the mean of its divisors is an integer number (2242912).

Almost surely, 2149526960 is an apocalyptic number.

149526960 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 149526960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269149440).

149526960 is an abundant number, since it is smaller than the sum of its proper divisors (388771920).

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

149526960 is a wasteful number, since it uses less digits than its factorization.

149526960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 149526960 is about 12228.1216873239. The cubic root of 149526960 is about 530.7701630863.

It can be divided in two parts, 14952 and 6960, that added together give a palindrome (21912).

The spelling of 149526960 in words is "one hundred forty-nine million, five hundred twenty-six thousand, nine hundred sixty".