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230560960 = 2657102929
BaseRepresentation
bin11011011111000…
…01010011000000
3121001211201011211
431233201103000
5433010422320
634513415504
75466510250
oct1557412300
9531751154
10230560960
11109166953
126526a594
13389c7706
1422899960
151539455a
hexdbe14c0

230560960 has 56 divisors (see below), whose sum is σ = 627461280. Its totient is φ = 79048704.

The previous prime is 230560943. The next prime is 230560963. The reversal of 230560960 is 69065032.

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

It is a super-2 number, since 2×2305609602 = 106316712552243200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230560963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49225 + ... + 53704.

Almost surely, 2230560960 is an apocalyptic number.

230560960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230560960 is an abundant number, since it is smaller than the sum of its proper divisors (396900320).

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

230560960 is a wasteful number, since it uses less digits than its factorization.

230560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102953 (or 102943 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 230560960 is about 15184.2339286511. The cubic root of 230560960 is about 613.1902732921.

The spelling of 230560960 in words is "two hundred thirty million, five hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 102929 205858 411716 514645 720503 823432 1029290 1441006 1646864 2058580 2882012 3293728 3602515 4117160 5764024 6587456 7205030 8234320 11528048 14410060 16468640 23056096 28820120 32937280 46112192 57640240 115280480 230560960