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230926410 = 233511135981
BaseRepresentation
bin11011100001110…
…10100001001010
3121002112021111000
431300322201022
5433104121120
634525315430
75502561561
oct1560724112
9532467430
10230926410
11109396480
1265405b76
1338ac4b60
1422952bd8
1515417990
hexdc3a84a

230926410 has 128 divisors (see below), whose sum is σ = 723582720. Its totient is φ = 51667200.

The previous prime is 230926373. The next prime is 230926427. The reversal of 230926410 is 14629032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 35620 + ... + 41600.

It is an arithmetic number, because the mean of its divisors is an integer number (5652990).

Almost surely, 2230926410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230926410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361791360).

230926410 is an abundant number, since it is smaller than the sum of its proper divisors (492656310).

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

230926410 is a wasteful number, since it uses less digits than its factorization.

230926410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6021 (or 6015 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 230926410 is about 15196.2630274683. The cubic root of 230926410 is about 613.5140807739.

The spelling of 230926410 in words is "two hundred thirty million, nine hundred twenty-six thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 90 99 110 117 130 135 143 165 195 198 234 270 286 297 330 351 390 429 495 585 594 702 715 858 990 1170 1287 1430 1485 1755 2145 2574 2970 3510 3861 4290 5981 6435 7722 11962 12870 17943 19305 29905 35886 38610 53829 59810 65791 77753 89715 107658 131582 155506 161487 179430 197373 233259 269145 322974 328955 388765 394746 466518 538290 592119 657910 699777 777530 807435 855283 986865 1166295 1184238 1399554 1614870 1710566 1776357 1973730 2099331 2332590 2565849 2960595 3498885 3552714 4198662 4276415 5131698 5921190 6997770 7697547 8552830 8881785 10496655 12829245 15395094 17763570 20993310 23092641 25658490 38487735 46185282 76975470 115463205 230926410