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68300232 = 233711132843
BaseRepresentation
bin1000001001000…
…10110111001000
311202112000022020
410010202313020
5114441101412
610435524440
71456354020
oct404426710
9152460266
1068300232
113560aa80
121aa59720
13111c4c50
1490dca80
155ee218c
hex4122dc8

68300232 has 128 divisors (see below), whose sum is σ = 229340160. Its totient is φ = 16369920.

The previous prime is 68300209. The next prime is 68300233. The reversal of 68300232 is 23200386.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (68300233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22603 + ... + 25445.

It is an arithmetic number, because the mean of its divisors is an integer number (1791720).

Almost surely, 268300232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68300232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114670080).

68300232 is an abundant number, since it is smaller than the sum of its proper divisors (161039928).

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

68300232 is a wasteful number, since it uses less digits than its factorization.

68300232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 68300232 is about 8264.3954406841. The cubic root of 68300232 is about 408.7653358628.

The spelling of 68300232 in words is "sixty-eight million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 2843 3003 3432 4004 5686 6006 8008 8529 11372 12012 17058 19901 22744 24024 31273 34116 36959 39802 59703 62546 68232 73918 79604 93819 110877 119406 125092 147836 159208 187638 218911 221754 238812 250184 258713 295672 375276 406549 437822 443508 477624 517426 656733 750552 776139 813098 875644 887016 1034852 1219647 1313466 1552278 1626196 1751288 2069704 2439294 2626932 2845843 3104556 3252392 4878588 5253864 5691686 6209112 8537529 9757176 11383372 17075058 22766744 34150116 68300232