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293130728 = 231121747379
BaseRepresentation
bin10001011110001…
…101000111101000
3202102120120202122
4101132031013220
51100020140403
645030450412
710156366352
oct2136150750
9672516678
10293130728
11140512500
1282203a08
1348964247
142ad060d2
151ab03838
hex1178d1e8

293130728 has 96 divisors (see below), whose sum is σ = 654998400. Its totient is φ = 122411520.

The previous prime is 293130707. The next prime is 293130731. The reversal of 293130728 is 827031392.

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, 773243 + ... + 773621.

It is an arithmetic number, because the mean of its divisors is an integer number (6822900).

Almost surely, 2293130728 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 293130728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327499200).

293130728 is an abundant number, since it is smaller than the sum of its proper divisors (361867672).

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

293130728 is a wasteful number, since it uses less digits than its factorization.

293130728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 293130728 is about 17121.0609484342. The cubic root of 293130728 is about 664.2839848305.

The spelling of 293130728 in words is "two hundred ninety-three million, one hundred thirty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 47 68 88 94 121 136 187 188 242 374 376 379 484 517 748 758 799 968 1034 1496 1516 1598 2057 2068 3032 3196 4114 4136 4169 5687 6392 6443 8228 8338 8789 11374 12886 16456 16676 17578 17813 22748 25772 33352 35156 35626 45496 45859 51544 70312 70873 71252 91718 96679 141746 142504 183436 193358 195943 283492 302821 366872 386716 391886 566984 605642 773432 779603 783772 1211284 1559206 1567544 2155373 2422568 3118412 3331031 4310746 6236824 6662062 8621492 13324124 17242984 26648248 36641341 73282682 146565364 293130728