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68903136 = 25358861
BaseRepresentation
bin1000001101101…
…10000011100000
311210122122100000
410012312003200
5120114400021
610500500000
71464444531
oct406660340
9153578300
1068903136
1135991a45
121b0aa600
13113764b3
149218688
1560b0b26
hex41b60e0

68903136 has 72 divisors (see below), whose sum is σ = 203223384. Its totient is φ = 22965120.

The previous prime is 68903069. The next prime is 68903137. The reversal of 68903136 is 63130986.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 68903136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68903137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3346 + ... + 12206.

It is an arithmetic number, because the mean of its divisors is an integer number (2822547).

Almost surely, 268903136 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 68903136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101611692).

68903136 is an abundant number, since it is smaller than the sum of its proper divisors (134320248).

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

68903136 is an equidigital number, since it uses as much as digits as its factorization.

68903136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8886 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 68903136 is about 8300.7912875822. The cubic root of 68903136 is about 409.9645735799.

The spelling of 68903136 in words is "sixty-eight million, nine hundred three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 8861 17722 26583 35444 53166 70888 79749 106332 141776 159498 212664 239247 283552 318996 425328 478494 637992 717741 850656 956988 1275984 1435482 1913976 2153223 2551968 2870964 3827952 4306446 5741928 7655904 8612892 11483856 17225784 22967712 34451568 68903136