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68688864 = 2533107743
BaseRepresentation
bin1000001100000…
…01101111100000
311210020202102000
410012001233200
5120041020424
610452124000
71462563036
oct406015740
9153222360
1068688864
1135855a62
121b006600
13112ccaca
1491a0556
15606c3c9
hex4181be0

68688864 has 96 divisors (see below), whose sum is σ = 202487040. Its totient is φ = 22651776.

The previous prime is 68688863. The next prime is 68688877. The reversal of 68688864 is 46888686.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×686888642 = 9436320075220992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 68688864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68688863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92077 + ... + 92819.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 268688864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68688864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

68688864 is an abundant number, since it is smaller than the sum of its proper divisors (133798176).

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

68688864 is a wasteful number, since it uses less digits than its factorization.

68688864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 855 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 68688864 is about 8287.8745164246. The cubic root of 68688864 is about 409.5391689244.

The spelling of 68688864 in words is "sixty-eight million, six hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 107 108 144 214 216 288 321 428 432 642 743 856 864 963 1284 1486 1712 1926 2229 2568 2889 2972 3424 3852 4458 5136 5778 5944 6687 7704 8916 10272 11556 11888 13374 15408 17832 20061 23112 23776 26748 30816 35664 40122 46224 53496 71328 79501 80244 92448 106992 159002 160488 213984 238503 318004 320976 477006 636008 641952 715509 954012 1272016 1431018 1908024 2146527 2544032 2862036 3816048 4293054 5724072 7632096 8586108 11448144 17172216 22896288 34344432 68688864