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68169192 = 23375132
BaseRepresentation
bin1000001000000…
…10110111101000
311202021100112220
410010002313220
5114422403232
610433034040
71455300000
oct404026750
9152240486
1068169192
1135530583
121a9b5920
131117a400
1490a7000
155eb842c
hex4102de8

68169192 has 144 divisors (see below), whose sum is σ = 215295840. Its totient is φ = 17978688.

The previous prime is 68169187. The next prime is 68169193. The reversal of 68169192 is 29196186.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (68169193) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5243778 + ... + 5243790.

It is an arithmetic number, because the mean of its divisors is an integer number (1495110).

Almost surely, 268169192 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 68169192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107647920).

68169192 is an abundant number, since it is smaller than the sum of its proper divisors (147126648).

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

68169192 is an equidigital number, since it uses as much as digits as its factorization.

68169192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 25 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The square root of 68169192 is about 8256.4636497716. The cubic root of 68169192 is about 408.5037510885.

Multiplying 68169192 by its sum of digits (42), we get a square (2863106064 = 535082).

68169192 divided by its sum of digits (42) gives a square (1623076 = 12742).

The spelling of 68169192 in words is "sixty-eight million, one hundred sixty-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 169 182 196 273 294 312 338 343 364 392 507 546 588 637 676 686 728 1014 1029 1092 1176 1183 1274 1352 1372 1911 2028 2058 2184 2366 2401 2548 2744 3549 3822 4056 4116 4459 4732 4802 5096 7098 7203 7644 8232 8281 8918 9464 9604 13377 14196 14406 15288 16562 16807 17836 19208 24843 26754 28392 28812 31213 33124 33614 35672 49686 50421 53508 57624 57967 62426 66248 67228 93639 99372 100842 107016 115934 124852 134456 173901 187278 198744 201684 218491 231868 249704 347802 374556 403368 405769 436982 463736 655473 695604 749112 811538 873964 1217307 1310946 1391208 1623076 1747928 2434614 2621892 2840383 3246152 4869228 5243784 5680766 8521149 9738456 11361532 17042298 22723064 34084596 68169192