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68995584 = 293372331
BaseRepresentation
bin1000001110011…
…00101000000000
311210211100011000
410013030220000
5120130324314
610502452000
71465311210
oct407145000
9153740130
1068995584
1135a45449
121b134000
13113a95b8
149240240
1560cd209
hex41cca00

68995584 has 320 divisors, whose sum is σ = 251412480. Its totient is φ = 18247680.

The previous prime is 68995573. The next prime is 68995609. The reversal of 68995584 is 48559986.

68995584 = T487 + T488 + ... + T808.

It is a happy number.

68995584 is a `hidden beast` number, since 6 + 89 + 9 + 558 + 4 = 666.

It is a super-2 number, since 2×689955842 = 9520781223002112, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68995584.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2225649 + ... + 2225679.

It is an arithmetic number, because the mean of its divisors is an integer number (785664).

Almost surely, 268995584 is an apocalyptic number.

68995584 is a gapful number since it is divisible by the number (64) 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 68995584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125706240).

68995584 is an abundant number, since it is smaller than the sum of its proper divisors (182416896).

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

68995584 is a wasteful number, since it uses less digits than its factorization.

68995584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 68995584 is about 8306.3580467013. The cubic root of 68995584 is about 410.1478427762.

The spelling of 68995584 in words is "sixty-eight million, nine hundred ninety-five thousand, five hundred eighty-four".