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230000960 = 2657102679
BaseRepresentation
bin11011011010110…
…00100101000000
3121000210021000002
431231120211000
5432340012320
634453415132
75461655510
oct1555304500
9530707002
10230000960
11108914142
126503a4a8
133885c857
1422791840
15152d3675
hexdb58940

230000960 has 56 divisors (see below), whose sum is σ = 625937280. Its totient is φ = 78856704.

The previous prime is 230000929. The next prime is 230000963. The reversal of 230000960 is 69000032.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230000963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49100 + ... + 53579.

Almost surely, 2230000960 is an apocalyptic number.

230000960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230000960 is an abundant number, since it is smaller than the sum of its proper divisors (395936320).

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

230000960 is a wasteful number, since it uses less digits than its factorization.

230000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102703 (or 102693 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 230000960 is about 15165.7825383328. The cubic root of 230000960 is about 612.6934199635.

Adding to 230000960 its reverse (69000032), we get a palindrome (299000992).

The spelling of 230000960 in words is "two hundred thirty million, nine hundred sixty", and thus it is an aban number.

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 102679 205358 410716 513395 718753 821432 1026790 1437506 1642864 2053580 2875012 3285728 3593765 4107160 5750024 6571456 7187530 8214320 11500048 14375060 16428640 23000096 28750120 32857280 46000192 57500240 115000480 230000960