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67676388 = 22313317151
BaseRepresentation
bin1000000100010…
…10100011100100
311201100022112220
410002022203210
5114311121023
610414312340
71451145153
oct402124344
9151308486
1067676388
11352242aa
121a7b86b0
1311037000
148db959a
155e1c3e3
hex408a8e4

67676388 has 96 divisors (see below), whose sum is σ = 182327040. Its totient is φ = 19468800.

The previous prime is 67676387. The next prime is 67676407. The reversal of 67676388 is 88367676.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 67676388.

It is not an unprimeable number, because it can be changed into a prime (67676383) 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, 448113 + ... + 448263.

It is an arithmetic number, because the mean of its divisors is an integer number (1899240).

Almost surely, 267676388 is an apocalyptic number.

67676388 is a gapful number since it is divisible by the number (68) 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 67676388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91163520).

67676388 is an abundant number, since it is smaller than the sum of its proper divisors (114650652).

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

67676388 is a wasteful number, since it uses less digits than its factorization.

67676388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 186 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 67676388 is about 8226.5659907400. The cubic root of 67676388 is about 407.5169937836.

The spelling of 67676388 in words is "sixty-seven million, six hundred seventy-six thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 151 156 169 204 221 302 338 442 453 507 604 663 676 884 906 1014 1326 1812 1963 2028 2197 2567 2652 2873 3926 4394 5134 5746 5889 6591 7701 7852 8619 8788 10268 11492 11778 13182 15402 17238 23556 25519 26364 30804 33371 34476 37349 51038 66742 74698 76557 100113 102076 112047 133484 149396 153114 200226 224094 306228 331747 400452 433823 448188 663494 867646 995241 1301469 1326988 1735292 1990482 2602938 3980964 5205876 5639699 11279398 16919097 22558796 33838194 67676388