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67923680 = 2551138593
BaseRepresentation
bin1000000110001…
…10111011100000
311201210212202212
410003012323200
5114342024210
610423501252
71453225136
oct403067340
9151725685
1067923680
1135383080
121a8b7828
13110c2736
149041756
155e6a805
hex40c6ee0

67923680 has 48 divisors (see below), whose sum is σ = 175062384. Its totient is φ = 24698880.

The previous prime is 67923649. The next prime is 67923731. The reversal of 67923680 is 8632976.

It is a super-2 number, since 2×679236802 = 9227252609484800, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 17537 + ... + 21056.

It is an arithmetic number, because the mean of its divisors is an integer number (3647133).

Almost surely, 267923680 is an apocalyptic number.

It is an amenable number.

67923680 is an abundant number, since it is smaller than the sum of its proper divisors (107138704).

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

67923680 is a wasteful number, since it uses less digits than its factorization.

67923680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38619 (or 38611 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 67923680 is about 8241.5823723360. The cubic root of 67923680 is about 408.0127511073.

The spelling of 67923680 in words is "sixty-seven million, nine hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 38593 77186 154372 192965 308744 385930 424523 617488 771860 849046 1234976 1543720 1698092 2122615 3087440 3396184 4245230 6174880 6792368 8490460 13584736 16980920 33961840 67923680