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230113680 = 2435958807
BaseRepresentation
bin11011011011101…
…00000110010000
3121000222222121220
431231310012100
5432402114210
634500045040
75462635236
oct1555640620
9530888556
10230113680
111089908a5
1265093780
133889bc54
14227c0956
1515306c70
hexdb74190

230113680 has 40 divisors (see below), whose sum is σ = 713353152. Its totient is φ = 61363584.

The previous prime is 230113673. The next prime is 230113687. The reversal of 230113680 is 86311032.

It is an interprime number because it is at equal distance from previous prime (230113673) and next prime (230113687).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 230113680.

It is not an unprimeable number, because it can be changed into a prime (230113687) 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, 479164 + ... + 479643.

Almost surely, 2230113680 is an apocalyptic number.

230113680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230113680 is an abundant number, since it is smaller than the sum of its proper divisors (483239472).

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

230113680 is a wasteful number, since it uses less digits than its factorization.

230113680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958823 (or 958817 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 230113680 is about 15169.4983437159. The cubic root of 230113680 is about 612.7934942170.

The spelling of 230113680 in words is "two hundred thirty million, one hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 958807 1917614 2876421 3835228 4794035 5752842 7670456 9588070 11505684 14382105 15340912 19176140 23011368 28764210 38352280 46022736 57528420 76704560 115056840 230113680