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230966760 = 233517432633
BaseRepresentation
bin11011100010001…
…00010111101000
3121002121022211110
431301010113220
5433111414020
634530230320
75503120323
oct1561042750
9532538743
10230966760
11109413822
12654253a0
1338b0a32b
14229637ba
15154248e0
hexdc445e8

230966760 has 128 divisors (see below), whose sum is σ = 751006080. Its totient is φ = 56598528.

The previous prime is 230966693. The next prime is 230966761. The reversal of 230966760 is 67669032.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (230966761) 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 31 ways as a sum of consecutive naturals, for example, 86404 + ... + 89036.

It is an arithmetic number, because the mean of its divisors is an integer number (5867235).

Almost surely, 2230966760 is an apocalyptic number.

230966760 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 230966760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375503040).

230966760 is an abundant number, since it is smaller than the sum of its proper divisors (520039320).

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

230966760 is a wasteful number, since it uses less digits than its factorization.

230966760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 230966760 is about 15197.5905985126. The cubic root of 230966760 is about 613.5498120002.

The spelling of 230966760 in words is "two hundred thirty million, nine hundred sixty-six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 43 51 60 68 85 86 102 120 129 136 170 172 204 215 255 258 340 344 408 430 510 516 645 680 731 860 1020 1032 1290 1462 1720 2040 2193 2580 2633 2924 3655 4386 5160 5266 5848 7310 7899 8772 10532 10965 13165 14620 15798 17544 21064 21930 26330 29240 31596 39495 43860 44761 52660 63192 78990 87720 89522 105320 113219 134283 157980 179044 223805 226438 268566 315960 339657 358088 447610 452876 537132 566095 671415 679314 895220 905752 1074264 1132190 1342830 1358628 1698285 1790440 1924723 2264380 2685660 2717256 3396570 3849446 4528760 5371320 5774169 6793140 7698892 9623615 11548338 13586280 15397784 19247230 23096676 28870845 38494460 46193352 57741690 76988920 115483380 230966760