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68032512 = 211323691
BaseRepresentation
bin1000000111000…
…01100000000000
311202000102001200
410003201200000
5114404020022
610430101200
71454160342
oct403414000
9152012050
1068032512
1135447919
121a94a800
1311130132
14906d292
155e8cbac
hex40e1800

68032512 has 72 divisors (see below), whose sum is σ = 196543620. Its totient is φ = 22671360.

The previous prime is 68032511. The next prime is 68032513. The reversal of 68032512 is 21523086.

It is an interprime number because it is at equal distance from previous prime (68032511) and next prime (68032513).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68032511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16587 + ... + 20277.

Almost surely, 268032512 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 68032512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98271810).

68032512 is an abundant number, since it is smaller than the sum of its proper divisors (128511108).

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

68032512 is a wasteful number, since it uses less digits than its factorization.

68032512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 68032512 is about 8248.1823452201. The cubic root of 68032512 is about 408.2305502050.

Adding to 68032512 its reverse (21523086), we get a palindrome (89555598).

The spelling of 68032512 in words is "sixty-eight million, thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3691 4608 6144 7382 9216 11073 14764 18432 22146 29528 33219 44292 59056 66438 88584 118112 132876 177168 236224 265752 354336 472448 531504 708672 944896 1063008 1417344 1889792 2126016 2834688 3779584 4252032 5669376 7559168 8504064 11338752 17008128 22677504 34016256 68032512