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68640840 = 23325190669
BaseRepresentation
bin1000001011101…
…10000001001000
311210011022112100
410011312001020
5120033001330
610451113400
71462303032
oct405660110
9153138470
1068640840
1135822974
121aba2860
13112b3ca8
14918ac52
15605d060
hex4176048

68640840 has 48 divisors (see below), whose sum is σ = 223083900. Its totient is φ = 18304128.

The previous prime is 68640839. The next prime is 68640881. The reversal of 68640840 is 4804686.

68640840 is a `hidden beast` number, since 6 + 8 + 640 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64931364 + 3709476 = 8058^2 + 1926^2 .

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 = 68640795 and 68640804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94975 + ... + 95694.

Almost surely, 268640840 is an apocalyptic number.

68640840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68640840 is an abundant number, since it is smaller than the sum of its proper divisors (154443060).

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

68640840 is a wasteful number, since it uses less digits than its factorization.

68640840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190686 (or 190679 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 68640840 is about 8284.9767652058. The cubic root of 68640840 is about 409.4437032101.

The spelling of 68640840 in words is "sixty-eight million, six hundred forty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 190669 381338 572007 762676 953345 1144014 1525352 1716021 1906690 2288028 2860035 3432042 3813380 4576056 5720070 6864084 7626760 8580105 11440140 13728168 17160210 22880280 34320420 68640840