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10113948 = 22321321611
BaseRepresentation
bin100110100101…
…001110011100
3201000211201200
4212211032130
510042121243
61000435500
7151652505
oct46451634
921024650
1010113948
115788839
123478b90
1321316b0
1414b3bac
15d4bad3
hex9a539c

10113948 has 36 divisors (see below), whose sum is σ = 27533688. Its totient is φ = 3111840.

The previous prime is 10113941. The next prime is 10113959. The reversal of 10113948 is 84931101.

10113948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10338 + ... + 11273.

Almost surely, 210113948 is an apocalyptic number.

10113948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10113948 is an abundant number, since it is smaller than the sum of its proper divisors (17419740).

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

10113948 is a wasteful number, since it uses less digits than its factorization.

10113948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21634 (or 21629 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10113948 is about 3180.2433869124. The cubic root of 10113948 is about 216.2586921117.

The spelling of 10113948 in words is "ten million, one hundred thirteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 21611 43222 64833 86444 129666 194499 259332 280943 388998 561886 777996 842829 1123772 1685658 2528487 3371316 5056974 10113948