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68637240 = 23335721297
BaseRepresentation
bin1000001011101…
…01001000111000
311210011010121000
410011311020320
5120032342430
610451045000
71462256400
oct405651070
9153133530
1068637240
11358201a1
121aba0760
13112b2469
149189800
15605be60
hex4175238

68637240 has 192 divisors, whose sum is σ = 266349600. Its totient is φ = 15676416.

The previous prime is 68637209. The next prime is 68637241. The reversal of 68637240 is 4273686.

It is a super-2 number, since 2×686372402 = 9422141429635200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 68637195 and 68637204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68637241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52272 + ... + 53568.

Almost surely, 268637240 is an apocalyptic number.

68637240 is a gapful number since it is divisible by the number (60) 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 68637240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133174800).

68637240 is an abundant number, since it is smaller than the sum of its proper divisors (197712360).

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

68637240 is a wasteful number, since it uses less digits than its factorization.

68637240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 68637240 is about 8284.7595016391. The cubic root of 68637240 is about 409.4365450658.

The spelling of 68637240 in words is "sixty-eight million, six hundred thirty-seven thousand, two hundred forty".