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103906842 = 231313110169
BaseRepresentation
bin1100011000101…
…11111000011010
321020112000101120
412030113320122
5203100004332
614151030110
72401123254
oct614277032
9236460346
10103906842
115371a826
122a96b336
13186b0b50
14db2acd4
1591c732c
hex6317e1a

103906842 has 32 divisors (see below), whose sum is σ = 225529920. Its totient is φ = 31724160.

The previous prime is 103906837. The next prime is 103906843. The reversal of 103906842 is 248609301.

It is not an unprimeable number, because it can be changed into a prime (103906843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5134 + ... + 15302.

It is an arithmetic number, because the mean of its divisors is an integer number (7047810).

Almost surely, 2103906842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103906842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112764960).

103906842 is an abundant number, since it is smaller than the sum of its proper divisors (121623078).

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

103906842 is a wasteful number, since it uses less digits than its factorization.

103906842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10318.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 103906842 is about 10193.4705571753. The cubic root of 103906842 is about 470.1264817283.

The spelling of 103906842 in words is "one hundred three million, nine hundred six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 131 262 393 786 1703 3406 5109 10169 10218 20338 30507 61014 132197 264394 396591 793182 1332139 2664278 3996417 7992834 17317807 34635614 51953421 103906842