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264630930 = 23559307487
BaseRepresentation
bin11111100010111…
…11001010010010
3200102221122101120
433301133022102
51020221142210
642131543110
76362216514
oct1761371222
9612848346
10264630930
11126417153
127475aa96
1342a96065
1427207bb4
1518374270
hexfc5f292

264630930 has 64 divisors (see below), whose sum is σ = 649313280. Its totient is φ = 69004224.

The previous prime is 264630929. The next prime is 264630937. The reversal of 264630930 is 39036462.

It is a super-2 number, since 2×2646309302 = 140059058225329800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264630891 and 264630900.

It is not an unprimeable number, because it can be changed into a prime (264630937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543147 + ... + 543633.

It is an arithmetic number, because the mean of its divisors is an integer number (10145520).

Almost surely, 2264630930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264630930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324656640).

264630930 is an abundant number, since it is smaller than the sum of its proper divisors (384682350).

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

264630930 is a wasteful number, since it uses less digits than its factorization.

264630930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863.

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 264630930 is about 16267.4807514870. The cubic root of 264630930 is about 642.0175022645.

The spelling of 264630930 in words is "two hundred sixty-four million, six hundred thirty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 307 354 487 590 614 885 921 974 1461 1535 1770 1842 2435 2922 3070 4605 4870 7305 9210 14610 18113 28733 36226 54339 57466 86199 90565 108678 143665 149509 172398 181130 271695 287330 299018 430995 448527 543390 747545 861990 897054 1495090 2242635 4485270 8821031 17642062 26463093 44105155 52926186 88210310 132315465 264630930