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69985968 = 24313195903
BaseRepresentation
bin1000010101111…
…10011010110000
311212200122200220
410022332122300
5120404022333
610540013040
71506604503
oct412763260
9155618626
1069985968
1136561548
121b531180
1311665320
14941b13a
1562268b3
hex42be6b0

69985968 has 80 divisors (see below), whose sum is σ = 204986880. Its totient is φ = 20397312.

The previous prime is 69985963. The next prime is 69985969. The reversal of 69985968 is 86958996.

It is not an unprimeable number, because it can be changed into a prime (69985963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8905 + ... + 14807.

It is an arithmetic number, because the mean of its divisors is an integer number (2562336).

Almost surely, 269985968 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 69985968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102493440).

69985968 is an abundant number, since it is smaller than the sum of its proper divisors (135000912).

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

69985968 is a wasteful number, since it uses less digits than its factorization.

69985968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946 (or 5940 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 60.

The square root of 69985968 is about 8365.7616509198. The cubic root of 69985968 is about 412.1009901047.

The spelling of 69985968 in words is "sixty-nine million, nine hundred eighty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5903 5928 11806 11856 17709 23612 35418 47224 70836 76739 94448 112157 141672 153478 224314 230217 283344 306956 336471 448628 460434 613912 672942 897256 920868 1227824 1345884 1458041 1794512 1841736 2691768 2916082 3683472 4374123 5383536 5832164 8748246 11664328 17496492 23328656 34992984 69985968