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67971690 = 2335614127
BaseRepresentation
bin1000000110100…
…10101001101010
311201220022122000
410003102221222
5114400043230
610424511430
71453515123
oct403225152
9151808560
1067971690
1135406156
121a91b576
131110b547
14905504a
155e79b60
hex40d2a6a

67971690 has 64 divisors (see below), whose sum is σ = 184273920. Its totient is φ = 17824320.

The previous prime is 67971689. The next prime is 67971731. The reversal of 67971690 is 9617976.

It is a super-2 number, since 2×679716902 = 9240301282912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14407 + ... + 18533.

It is an arithmetic number, because the mean of its divisors is an integer number (2879280).

Almost surely, 267971690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67971690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92136960).

67971690 is an abundant number, since it is smaller than the sum of its proper divisors (116302230).

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

67971690 is a wasteful number, since it uses less digits than its factorization.

67971690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 67971690 is about 8244.4945266523. The cubic root of 67971690 is about 408.1088593607.

The spelling of 67971690 in words is "sixty-seven million, nine hundred seventy-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 915 1098 1647 1830 2745 3294 4127 5490 8235 8254 12381 16470 20635 24762 37143 41270 61905 74286 111429 123810 185715 222858 251747 371430 503494 557145 755241 1114290 1258735 1510482 2265723 2517470 3776205 4531446 6797169 7552410 11328615 13594338 22657230 33985845 67971690