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68691132 = 2233798397
BaseRepresentation
bin1000001100000…
…10010010111100
311210020212112000
410012002102330
5120041104012
610452142300
71462602456
oct406022274
9153225460
1068691132
1135857734
121b007990
1311300b53
1491a12d6
15606cddc
hex41824bc

68691132 has 96 divisors (see below), whose sum is σ = 184396800. Its totient is φ = 22104576.

The previous prime is 68691109. The next prime is 68691149. The reversal of 68691132 is 23119686.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 708108 + ... + 708204.

It is an arithmetic number, because the mean of its divisors is an integer number (1920800).

Almost surely, 268691132 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 68691132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92198400).

68691132 is an abundant number, since it is smaller than the sum of its proper divisors (115705668).

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

68691132 is a wasteful number, since it uses less digits than its factorization.

68691132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 68691132 is about 8288.0113416911. The cubic root of 68691132 is about 409.5436763247.

It can be divided in two parts, 6869 and 1132, that added together give a triangular number (8001 = T126).

The spelling of 68691132 in words is "sixty-eight million, six hundred ninety-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 83 97 108 158 166 194 237 249 291 316 332 388 474 498 582 711 747 873 948 996 1164 1422 1494 1746 2133 2241 2619 2844 2988 3492 4266 4482 5238 6557 7663 8051 8532 8964 10476 13114 15326 16102 19671 22989 24153 26228 30652 32204 39342 45978 48306 59013 68967 72459 78684 91956 96612 118026 137934 144918 177039 206901 217377 236052 275868 289836 354078 413802 434754 636029 708156 827604 869508 1272058 1908087 2544116 3816174 5724261 7632348 11448522 17172783 22897044 34345566 68691132