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230007680 = 275751341
BaseRepresentation
bin11011011010110…
…10001110000000
3121000210121012222
431231122032000
5432340221210
634453510212
75462014220
oct1555321600
9530717188
10230007680
111089191a1
1265042368
1338862926
1422794080
15152d5655
hexdb5a380

230007680 has 64 divisors (see below), whose sum is σ = 628426080. Its totient is φ = 78858240.

The previous prime is 230007667. The next prime is 230007683. The reversal of 230007680 is 86700032.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230007683) 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, 21191 + ... + 30150.

Almost surely, 2230007680 is an apocalyptic number.

230007680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230007680 is an abundant number, since it is smaller than the sum of its proper divisors (398418400).

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

230007680 is an equidigital number, since it uses as much as digits as its factorization.

230007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51367 (or 51355 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 230007680 is about 15166.0040880912. The cubic root of 230007680 is about 612.6993869816.

The spelling of 230007680 in words is "two hundred thirty million, seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 51341 102682 205364 256705 359387 410728 513410 718774 821456 1026820 1437548 1642912 1796935 2053640 2875096 3285824 3593870 4107280 5750192 6571648 7187740 8214560 11500384 14375480 16429120 23000768 28750960 32858240 46001536 57501920 115003840 230007680