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68832540 = 22325754629
BaseRepresentation
bin1000001101001…
…00110100011100
311210112001111100
410012210310130
5120110120130
610455153100
71464031650
oct406446434
9153461440
1068832540
11359439a7
121b075790
131135031a
1491daa60
156099c60
hex41a4d1c

68832540 has 72 divisors (see below), whose sum is σ = 238623840. Its totient is φ = 15732864.

The previous prime is 68832479. The next prime is 68832571. The reversal of 68832540 is 4523886.

68832540 is a `hidden beast` number, since 6 + 88 + 32 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68832495 and 68832504.

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 23 ways as a sum of consecutive naturals, for example, 26055 + ... + 28574.

It is an arithmetic number, because the mean of its divisors is an integer number (3314220).

Almost surely, 268832540 is an apocalyptic number.

68832540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68832540 is an abundant number, since it is smaller than the sum of its proper divisors (169791300).

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

68832540 is a wasteful number, since it uses less digits than its factorization.

68832540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54651 (or 54646 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 68832540 is about 8296.5378321321. The cubic root of 68832540 is about 409.8245134382.

The spelling of 68832540 in words is "sixty-eight million, eight hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 54629 109258 163887 218516 273145 327774 382403 491661 546290 655548 764806 819435 983322 1092580 1147209 1529612 1638870 1912015 1966644 2294418 2458305 3277740 3441627 3824030 4588836 4916610 5736045 6883254 7648060 9833220 11472090 13766508 17208135 22944180 34416270 68832540