Search a number
-
+
10110792 = 2332973199
BaseRepresentation
bin100110100100…
…011101001000
3201000200101210
4212210131020
510042021132
61000413120
7151640346
oct46443510
921020353
1010110792
11578642a
1234771a0
132130123
1414b2996
15d4abcc
hex9a4748

10110792 has 64 divisors (see below), whose sum is σ = 26640000. Its totient is φ = 3193344.

The previous prime is 10110791. The next prime is 10110797. The reversal of 10110792 is 29701101.

It is a super-2 number, since 2×101107922 = 204456229734528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10110791) 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, 50709 + ... + 50907.

It is an arithmetic number, because the mean of its divisors is an integer number (416250).

Almost surely, 210110792 is an apocalyptic number.

10110792 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 10110792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13320000).

10110792 is an abundant number, since it is smaller than the sum of its proper divisors (16529208).

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

10110792 is a wasteful number, since it uses less digits than its factorization.

10110792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 10110792 is about 3179.7471597597. The cubic root of 10110792 is about 216.2361956729.

Adding to 10110792 its reverse (29701101), we get a palindrome (39811893).

The spelling of 10110792 in words is "ten million, one hundred ten thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 73 87 116 146 174 199 219 232 292 348 398 438 584 597 696 796 876 1194 1592 1752 2117 2388 4234 4776 5771 6351 8468 11542 12702 14527 16936 17313 23084 25404 29054 34626 43581 46168 50808 58108 69252 87162 116216 138504 174324 348648 421283 842566 1263849 1685132 2527698 3370264 5055396 10110792