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147980160 = 27325231117
BaseRepresentation
bin10001101000111…
…11111110000000
3101022110011121200
420310133332000
5300340331120
622403421200
73444545016
oct1064377600
9338404550
10147980160
1176592759
1241684800
1324872733
14159208b6
15ced0e90
hex8d1ff80

147980160 has 192 divisors, whose sum is σ = 533688480. Its totient is φ = 37711872.

The previous prime is 147980149. The next prime is 147980207. The reversal of 147980160 is 61089741.

147980160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131922 + ... + 133038.

Almost surely, 2147980160 is an apocalyptic number.

147980160 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 147980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266844240).

147980160 is an abundant number, since it is smaller than the sum of its proper divisors (385708320).

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

147980160 is a wasteful number, since it uses less digits than its factorization.

147980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 147980160 is about 12164.7096142900. The cubic root of 147980160 is about 528.9336099254.

The spelling of 147980160 in words is "one hundred forty-seven million, nine hundred eighty thousand, one hundred sixty".