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230629560 = 23357463593
BaseRepresentation
bin11011011111100…
…10000010111000
3121001222012021120
431233302002320
5433020121220
634515105240
75500214250
oct1557620270
9531865246
10230629560
11109203447
12652a2220
1338a1c9c5
14228b6960
15153a9a40
hexdbf20b8

230629560 has 128 divisors (see below), whose sum is σ = 793774080. Its totient is φ = 52512768.

The previous prime is 230629549. The next prime is 230629577. The reversal of 230629560 is 65926032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388624 + ... + 389216.

It is an arithmetic number, because the mean of its divisors is an integer number (6201360).

Almost surely, 2230629560 is an apocalyptic number.

230629560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230629560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396887040).

230629560 is an abundant number, since it is smaller than the sum of its proper divisors (563144520).

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

230629560 is a wasteful number, since it uses less digits than its factorization.

230629560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 230629560 is about 15186.4926826440. The cubic root of 230629560 is about 613.2510824905.

The spelling of 230629560 in words is "two hundred thirty million, six hundred twenty-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 463 593 840 926 1186 1389 1779 1852 2315 2372 2778 2965 3241 3558 3704 4151 4630 4744 5556 5930 6482 6945 7116 8302 8895 9260 9723 11112 11860 12453 12964 13890 14232 16205 16604 17790 18520 19446 20755 23720 24906 25928 27780 32410 33208 35580 38892 41510 48615 49812 55560 62265 64820 71160 77784 83020 97230 99624 124530 129640 166040 194460 249060 274559 388920 498120 549118 823677 1098236 1372795 1647354 1921913 2196472 2745590 3294708 3843826 4118385 5491180 5765739 6589416 7687652 8236770 9609565 10982360 11531478 15375304 16473540 19219130 23062956 28828695 32947080 38438260 46125912 57657390 76876520 115314780 230629560