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107003934 = 23219595303
BaseRepresentation
bin1100110000011…
…00000000011110
321110100100210200
412120030000132
5204343111214
614341244330
72436342552
oct630140036
9243310720
10107003934
1155445704
122ba036a6
131922674b
14102d5862
1595d9d09
hex660c01e

107003934 has 48 divisors (see below), whose sum is σ = 248227200. Its totient is φ = 33211728.

The previous prime is 107003927. The next prime is 107003951. The reversal of 107003934 is 439300701.

It is a super-2 number, since 2×1070039342 = 22899683782952712, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 107003898 and 107003907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17527 + ... + 22829.

It is an arithmetic number, because the mean of its divisors is an integer number (5171400).

Almost surely, 2107003934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107003934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124113600).

107003934 is an abundant number, since it is smaller than the sum of its proper divisors (141223266).

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

107003934 is a wasteful number, since it uses less digits than its factorization.

107003934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5389 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 107003934 is about 10344.2705881082. The cubic root of 107003934 is about 474.7517580070.

The spelling of 107003934 in words is "one hundred seven million, three thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 59 114 118 171 177 342 354 531 1062 1121 2242 3363 5303 6726 10089 10606 15909 20178 31818 47727 95454 100757 201514 302271 312877 604542 625754 906813 938631 1813626 1877262 2815893 5631786 5944663 11889326 17833989 35667978 53501967 107003934