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68573640 = 23354791193
BaseRepresentation
bin1000001011001…
…01100111001000
311210000220100110
410011211213020
5120023324030
610445434320
71461603102
oct405454710
9153026313
1068573640
1135787433
121ab6b9a0
131128c525
149170572
1560481b0
hex41659c8

68573640 has 64 divisors (see below), whose sum is σ = 206323200. Its totient is φ = 18232832.

The previous prime is 68573627. The next prime is 68573657. The reversal of 68573640 is 4637586.

It is a super-3 number, since 3×685736403 (a number of 24 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 56884 + ... + 58076.

It is an arithmetic number, because the mean of its divisors is an integer number (3223800).

Almost surely, 268573640 is an apocalyptic number.

68573640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68573640 is an abundant number, since it is smaller than the sum of its proper divisors (137749560).

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

68573640 is a wasteful number, since it uses less digits than its factorization.

68573640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 68573640 is about 8280.9202387174. The cubic root of 68573640 is about 409.3100432259.

The spelling of 68573640 in words is "sixty-eight million, five hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 479 958 1193 1437 1916 2386 2395 2874 3579 3832 4772 4790 5748 5965 7158 7185 9544 9580 11496 11930 14316 14370 17895 19160 23860 28632 28740 35790 47720 57480 71580 143160 571447 1142894 1714341 2285788 2857235 3428682 4571576 5714470 6857364 8571705 11428940 13714728 17143410 22857880 34286820 68573640