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10113792 = 283131013
BaseRepresentation
bin100110100101…
…001100000000
3201000211111220
4212211030000
510042120132
61000435040
7151652163
oct46451400
921024456
1010113792
115788707
123478a80
1321315c0
1414b3ada
15d4ba2c
hex9a5300

10113792 has 72 divisors (see below), whose sum is σ = 29016624. Its totient is φ = 3108864.

The previous prime is 10113791. The next prime is 10113797. The reversal of 10113792 is 29731101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10113791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9478 + ... + 10490.

Almost surely, 210113792 is an apocalyptic number.

10113792 is a gapful number since it is divisible by the number (12) 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 10113792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14508312).

10113792 is an abundant number, since it is smaller than the sum of its proper divisors (18902832).

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

10113792 is a wasteful number, since it uses less digits than its factorization.

10113792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 10113792 is about 3180.2188603931. The cubic root of 10113792 is about 216.2575802303.

Adding to 10113792 its reverse (29731101), we get a palindrome (39844893).

The spelling of 10113792 in words is "ten million, one hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1013 1248 1664 2026 2496 3039 3328 4052 4992 6078 8104 9984 12156 13169 16208 24312 26338 32416 39507 48624 52676 64832 79014 97248 105352 129664 158028 194496 210704 259328 316056 388992 421408 632112 777984 842816 1264224 1685632 2528448 3371264 5056896 10113792