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103868336 = 24112134127
BaseRepresentation
bin1100011000011…
…10011110110000
321020110001120102
412030032132300
5203042241321
614150131532
72400603065
oct614163660
9236401512
10103868336
11536a3900
122a950ba8
1318699470
14db1ac6c
1591bac0b
hex630e7b0

103868336 has 60 divisors (see below), whose sum is σ = 238276416. Its totient is φ = 43570560.

The previous prime is 103868309. The next prime is 103868341. The reversal of 103868336 is 633868301.

It is a self number, because there is not a number n which added to its sum of digits gives 103868336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23105 + ... + 27231.

Almost surely, 2103868336 is an apocalyptic number.

103868336 is a gapful number since it is divisible by the number (16) 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 103868336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119138208).

103868336 is an abundant number, since it is smaller than the sum of its proper divisors (134408080).

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

103868336 is a wasteful number, since it uses less digits than its factorization.

103868336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 103868336 is about 10191.5816240660. The cubic root of 103868336 is about 470.0684010905.

The spelling of 103868336 in words is "one hundred three million, eight hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 286 484 572 968 1144 1573 1936 2288 3146 4127 6292 8254 12584 16508 25168 33016 45397 53651 66032 90794 107302 181588 214604 363176 429208 499367 590161 726352 858416 998734 1180322 1997468 2360644 3994936 4721288 6491771 7989872 9442576 12983542 25967084 51934168 103868336