Search a number
-
+
68432688 = 24365867
BaseRepresentation
bin1000001010000…
…11001100110000
311202202202000000
410011003030300
5120004321223
610442430000
71460445132
oct405031460
9152682000
1068432688
11356a0545
121ab02300
131124031c
149135052
15601b543
hex4143330

68432688 has 70 divisors (see below), whose sum is σ = 198825444. Its totient is φ = 22807008.

The previous prime is 68432681. The next prime is 68432719. The reversal of 68432688 is 88623486.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (68432681) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8731 + ... + 14597.

Almost surely, 268432688 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 68432688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99412722).

68432688 is an abundant number, since it is smaller than the sum of its proper divisors (130392756).

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

68432688 is an equidigital number, since it uses as much as digits as its factorization.

68432688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5872 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 68432688 is about 8272.4052125123. The cubic root of 68432688 is about 409.0294074818.

The spelling of 68432688 in words is "sixty-eight million, four hundred thirty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 5867 11664 11734 17601 23468 35202 46936 52803 70404 93872 105606 140808 158409 211212 281616 316818 422424 475227 633636 844848 950454 1267272 1425681 1900908 2534544 2851362 3801816 4277043 5702724 7603632 8554086 11405448 17108172 22810896 34216344 68432688