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147051968 = 267615381
BaseRepresentation
bin10001100001111…
…01010111000000
3101020201000101012
420300331113000
5300121130333
622331500052
73433630640
oct1060752700
9336630335
10147051968
1176009358
12412b7628
13246090cb
141575c520
15cd9ae48
hex8c3d5c0

147051968 has 56 divisors (see below), whose sum is σ = 339022944. Its totient is φ = 61977600.

The previous prime is 147051937. The next prime is 147051977. The reversal of 147051968 is 869150741.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24638 + ... + 30018.

Almost surely, 2147051968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169511472).

147051968 is an abundant number, since it is smaller than the sum of its proper divisors (191970976).

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

147051968 is an equidigital number, since it uses as much as digits as its factorization.

147051968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The square root of 147051968 is about 12126.4985878035. The cubic root of 147051968 is about 527.8253937497.

The spelling of 147051968 in words is "one hundred forty-seven million, fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 224 244 427 448 488 854 976 1708 1952 3416 3904 5381 6832 10762 13664 21524 27328 37667 43048 75334 86096 150668 172192 301336 328241 344384 602672 656482 1205344 1312964 2297687 2410688 2625928 4595374 5251856 9190748 10503712 18381496 21007424 36762992 73525984 147051968