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68964240 = 24351716903
BaseRepresentation
bin1000001110001…
…00111110010000
311210202202011010
410013010332100
5120123323430
610502050520
71465120632
oct407047620
9153682133
1068964240
1135a23944
121b119a40
1311398257
149232a52
1560c3cb0
hex41c4f90

68964240 has 80 divisors (see below), whose sum is σ = 226378368. Its totient is φ = 17307648.

The previous prime is 68964211. The next prime is 68964241. The reversal of 68964240 is 4246986.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (68964241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4372 + ... + 12531.

Almost surely, 268964240 is an apocalyptic number.

68964240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68964240 is an abundant number, since it is smaller than the sum of its proper divisors (157414128).

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

68964240 is a wasteful number, since it uses less digits than its factorization.

68964240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16936 (or 16930 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 68964240 is about 8304.4710849036. The cubic root of 68964240 is about 410.0857246886.

The spelling of 68964240 in words is "sixty-eight million, nine hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 16903 33806 50709 67612 84515 101418 135224 169030 202836 253545 270448 287351 338060 405672 507090 574702 676120 811344 862053 1014180 1149404 1352240 1436755 1724106 2028360 2298808 2873510 3448212 4056720 4310265 4597616 5747020 6896424 8620530 11494040 13792848 17241060 22988080 34482120 68964240