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147830096 = 2417372397
BaseRepresentation
bin10001100111110…
…11010101010000
3101022011112202202
420303323111100
5300321030341
622400302332
73443351351
oct1063732520
9338145682
10147830096
117649aa37
12416119a8
132481c33b
14158c1d28
15cea179b
hex8cfb550

147830096 has 60 divisors (see below), whose sum is σ = 312472188. Its totient is φ = 67516416.

The previous prime is 147830083. The next prime is 147830117. The reversal of 147830096 is 690038741.

147830096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 59845696 + 87984400 = 7736^2 + 9380^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372170 + ... + 372566.

Almost surely, 2147830096 is an apocalyptic number.

147830096 is a gapful number since it is divisible by the number (16) 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 147830096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156236094).

147830096 is an abundant number, since it is smaller than the sum of its proper divisors (164642092).

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

147830096 is a wasteful number, since it uses less digits than its factorization.

147830096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 147830096 is about 12158.5400439362. The cubic root of 147830096 is about 528.7547554562.

The spelling of 147830096 in words is "one hundred forty-seven million, eight hundred thirty thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 397 592 629 794 1258 1369 1588 2516 2738 3176 5032 5476 6352 6749 10064 10952 13498 14689 21904 23273 26996 29378 46546 53992 58756 93092 107984 117512 186184 235024 249713 372368 499426 543493 998852 1086986 1997704 2173972 3995408 4347944 8695888 9239381 18478762 36957524 73915048 147830096