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103868457 = 3711241997
BaseRepresentation
bin1100011000011…
…10100000101001
321020110001201220
412030032200221
5203042242312
614150132253
72400603330
oct614164051
9236401656
10103868457
11536a3a00
122a951089
1318699534
14db1ad17
1591bac8c
hex630e829

103868457 has 48 divisors (see below), whose sum is σ = 178394496. Its totient is φ = 52588800.

The previous prime is 103868417. The next prime is 103868461. The reversal of 103868457 is 754868301.

It is not a de Polignac number, because 103868457 - 28 = 103868201 is a prime.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (103868417) 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, 103683 + ... + 104679.

It is an arithmetic number, because the mean of its divisors is an integer number (3716552).

Almost surely, 2103868457 is an apocalyptic number.

It is an amenable number.

103868457 is a deficient number, since it is larger than the sum of its proper divisors (74526039).

103868457 is a wasteful number, since it uses less digits than its factorization.

103868457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 103868457 is about 10191.5875603362. The cubic root of 103868457 is about 470.0685836237.

The spelling of 103868457 in words is "one hundred three million, eight hundred sixty-eight thousand, four hundred fifty-seven".

Divisors: 1 3 7 11 21 33 41 77 121 123 231 287 363 451 847 861 997 1353 2541 2991 3157 4961 6979 9471 10967 14883 20937 32901 34727 40877 76769 104181 120637 122631 230307 286139 361911 449647 844459 858417 1348941 2533377 3147529 4946117 9442587 14838351 34622819 103868457