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68682960 = 2432595393
BaseRepresentation
bin1000001100000…
…00010011010000
311210020110022100
410012000103100
5120040323320
610452040400
71462536603
oct406002320
9153213270
1068682960
1135851585
121b003100
13112ca208
14919c33a
15606a790
hex41804d0

68682960 has 60 divisors (see below), whose sum is σ = 230662692. Its totient is φ = 18315264.

The previous prime is 68682953. The next prime is 68682983. The reversal of 68682960 is 6928686.

It can be written as a sum of positive squares in 2 ways, for example, as 50637456 + 18045504 = 7116^2 + 4248^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×686829603 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 46977 + ... + 48416.

Almost surely, 268682960 is an apocalyptic number.

68682960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68682960 is an abundant number, since it is smaller than the sum of its proper divisors (161979732).

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

68682960 is a wasteful number, since it uses less digits than its factorization.

68682960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95412 (or 95403 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 68682960 is about 8287.5183257716. The cubic root of 68682960 is about 409.5274349091.

The spelling of 68682960 in words is "sixty-eight million, six hundred eighty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 95393 190786 286179 381572 476965 572358 763144 858537 953930 1144716 1430895 1526288 1717074 1907860 2289432 2861790 3434148 3815720 4292685 4578864 5723580 6868296 7631440 8585370 11447160 13736592 17170740 22894320 34341480 68682960