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108271368 = 233217531669
BaseRepresentation
bin1100111010000…
…01011100001000
321112201202101200
412131001130020
5210204140433
614424344200
72453201652
oct635013410
9245652350
10108271368
1156130977
1230315060
131957b5ca
14105456d2
15978a613
hex6741708

108271368 has 96 divisors (see below), whose sum is σ = 316531800. Its totient is φ = 33306624.

The previous prime is 108271363. The next prime is 108271381. The reversal of 108271368 is 863172801.

It can be written as a sum of positive squares in 4 ways, for example, as 106874244 + 1397124 = 10338^2 + 1182^2 .

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

It is not an unprimeable number, because it can be changed into a prime (108271363) 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 23 ways as a sum of consecutive naturals, for example, 64038 + ... + 65706.

Almost surely, 2108271368 is an apocalyptic number.

108271368 is a gapful number since it is divisible by the number (18) 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 108271368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158265900).

108271368 is an abundant number, since it is smaller than the sum of its proper divisors (208260432).

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

108271368 is a wasteful number, since it uses less digits than its factorization.

108271368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 108271368 is about 10405.3528532193. The cubic root of 108271368 is about 476.6188429588.

The spelling of 108271368 in words is "one hundred eight million, two hundred seventy-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 53 68 72 102 106 136 153 159 204 212 306 318 408 424 477 612 636 901 954 1224 1272 1669 1802 1908 2703 3338 3604 3816 5007 5406 6676 7208 8109 10014 10812 13352 15021 16218 20028 21624 28373 30042 32436 40056 56746 60084 64872 85119 88457 113492 120168 170238 176914 226984 255357 265371 340476 353828 510714 530742 680952 707656 796113 1021428 1061484 1503769 1592226 2042856 2122968 3007538 3184452 4511307 6015076 6368904 9022614 12030152 13533921 18045228 27067842 36090456 54135684 108271368