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68422176 = 2532376421
BaseRepresentation
bin1000001010000…
…00101000100000
311202202012120200
410011000220200
5120004002201
610442305200
71460402364
oct405005040
9152665520
1068422176
1135693659
121aab8200
13112385c4
1491312a4
156018386
hex4140a20

68422176 has 72 divisors (see below), whose sum is σ = 199865484. Its totient is φ = 22187520.

The previous prime is 68422111. The next prime is 68422187. The reversal of 68422176 is 67122486.

68422176 is a `hidden beast` number, since 68 + 422 + 176 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67568400 + 853776 = 8220^2 + 924^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 68422176.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7446 + ... + 13866.

Almost surely, 268422176 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 68422176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99932742).

68422176 is an abundant number, since it is smaller than the sum of its proper divisors (131443308).

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

68422176 is a wasteful number, since it uses less digits than its factorization.

68422176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6474 (or 6463 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 68422176 is about 8271.7698227163. The cubic root of 68422176 is about 409.0084626310.

The spelling of 68422176 in words is "sixty-eight million, four hundred twenty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 6421 10656 12842 19263 25684 38526 51368 57789 77052 102736 115578 154104 205472 231156 237577 308208 462312 475154 616416 712731 924624 950308 1425462 1849248 1900616 2138193 2850924 3801232 4276386 5701848 7602464 8552772 11403696 17105544 22807392 34211088 68422176