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67923984 = 2431415083
BaseRepresentation
bin1000000110001…
…11000000010000
311201210220012010
410003013000100
5114342031414
610423502520
71453226052
oct403070020
9151726163
1067923984
1135383327
121a8b7a40
13110c290b
1490418d2
155e6a959
hex40c7010

67923984 has 20 divisors (see below), whose sum is σ = 175470416. Its totient is φ = 22641312.

The previous prime is 67923979. The next prime is 67924013. The reversal of 67923984 is 48932976.

It is a super-2 number, since 2×679239842 = 9227335204864512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 1415083 = 67923984 / (6 + 7 + 9 + 2 + 3 + 9 + 8 + 4).

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 3 ways as a sum of consecutive naturals, for example, 707494 + ... + 707589.

Almost surely, 267923984 is an apocalyptic number.

It is an amenable number.

67923984 is an abundant number, since it is smaller than the sum of its proper divisors (107546432).

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

67923984 is a wasteful number, since it uses less digits than its factorization.

67923984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415094 (or 1415088 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 67923984 is about 8241.6008153756. The cubic root of 67923984 is about 408.0133598086.

The spelling of 67923984 in words is "sixty-seven million, nine hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1415083 2830166 4245249 5660332 8490498 11320664 16980996 22641328 33961992 67923984