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67961412 = 223223211389
BaseRepresentation
bin1000000110100…
…00001001000100
311201212210112100
410003100021010
5114344231122
610424352100
71453443141
oct403201104
9151783470
1067961412
11353a9462
121a915630
131110696c
1490513c8
155e76aac
hex40d0244

67961412 has 72 divisors (see below), whose sum is σ = 180573120. Its totient is φ = 21510720.

The previous prime is 67961407. The next prime is 67961431. The reversal of 67961412 is 21416976.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174514 + ... + 174902.

It is an arithmetic number, because the mean of its divisors is an integer number (2507960).

Almost surely, 267961412 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 67961412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90286560).

67961412 is an abundant number, since it is smaller than the sum of its proper divisors (112611708).

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

67961412 is a wasteful number, since it uses less digits than its factorization.

67961412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 628 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 67961412 is about 8243.8711780328. The cubic root of 67961412 is about 408.0882882754.

The spelling of 67961412 in words is "sixty-seven million, nine hundred sixty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 211 276 389 414 422 633 778 828 844 1167 1266 1556 1899 2334 2532 3501 3798 4668 4853 7002 7596 8947 9706 14004 14559 17894 19412 26841 29118 35788 43677 53682 58236 80523 82079 87354 107364 161046 164158 174708 246237 322092 328316 492474 738711 984948 1477422 1887817 2954844 3775634 5663451 7551268 11326902 16990353 22653804 33980706 67961412