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68960520 = 23325223859
BaseRepresentation
bin1000001110001…
…00000100001000
311210202120001100
410013010010020
5120123214040
610502021400
71465104036
oct407040410
9153676040
1068960520
1135a21072
121b117860
1311396655
149231556
1560c2b30
hex41c4108

68960520 has 96 divisors (see below), whose sum is σ = 225388800. Its totient is φ = 18285696.

The previous prime is 68960513. The next prime is 68960527. The reversal of 68960520 is 2506986.

It is an interprime number because it is at equal distance from previous prime (68960513) and next prime (68960527).

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

It is not an unprimeable number, because it can be changed into a prime (68960527) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 79851 + ... + 80709.

It is an arithmetic number, because the mean of its divisors is an integer number (2347800).

Almost surely, 268960520 is an apocalyptic number.

68960520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68960520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112694400).

68960520 is an abundant number, since it is smaller than the sum of its proper divisors (156428280).

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

68960520 is a wasteful number, since it uses less digits than its factorization.

68960520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 68960520 is about 8304.2471061500. The cubic root of 68960520 is about 410.0783510781.

The spelling of 68960520 in words is "sixty-eight million, nine hundred sixty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 223 360 446 669 859 892 1115 1338 1718 1784 2007 2230 2577 2676 3345 3436 4014 4295 4460 5154 5352 6690 6872 7731 8028 8590 8920 10035 10308 12885 13380 15462 16056 17180 20070 20616 25770 26760 30924 34360 38655 40140 51540 61848 77310 80280 103080 154620 191557 309240 383114 574671 766228 957785 1149342 1532456 1724013 1915570 2298684 2873355 3448026 3831140 4597368 5746710 6896052 7662280 8620065 11493420 13792104 17240130 22986840 34480260 68960520