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146730688 = 2613315689
BaseRepresentation
bin10001011111011…
…10111011000000
3101020002200122221
420233232323000
5300030340223
622320540424
73431122156
oct1057567300
9336080587
10146730688
1175909a35
1241181714
1324525ac0
14156b73d6
15cd35b5d
hex8beeec0

146730688 has 56 divisors (see below), whose sum is σ = 323738240. Its totient is φ = 65525760.

The previous prime is 146730653. The next prime is 146730707. The reversal of 146730688 is 886037641.

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, 22948 + ... + 28636.

It is an arithmetic number, because the mean of its divisors is an integer number (5781040).

Almost surely, 2146730688 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 146730688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161869120).

146730688 is an abundant number, since it is smaller than the sum of its proper divisors (177007552).

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

146730688 is a wasteful number, since it uses less digits than its factorization.

146730688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 146730688 is about 12113.2443218157. The cubic root of 146730688 is about 527.4407147945.

The spelling of 146730688 in words is "one hundred forty-six million, seven hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 496 806 832 992 1612 1984 3224 5689 6448 11378 12896 22756 25792 45512 73957 91024 147914 176359 182048 295828 352718 364096 591656 705436 1183312 1410872 2292667 2366624 2821744 4585334 4733248 5643488 9170668 11286976 18341336 36682672 73365344 146730688