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10712296 = 237238317
BaseRepresentation
bin101000110111…
…010011101000
3202011020111201
4220313103220
510220243141
61021333544
7160024120
oct50672350
922136451
1010712296
116057341
1237072b4
1322b0b4a
1415cbc80
15e19031
hexa374e8

10712296 has 32 divisors (see below), whose sum is σ = 23955840. Its totient is φ = 4390848.

The previous prime is 10712293. The next prime is 10712311. The reversal of 10712296 is 69221701.

10712296 = T323 + T324 + ... + T460.

It is a happy number.

10712296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107122962 = 229506571183232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10712293) 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, 2871 + ... + 5446.

It is an arithmetic number, because the mean of its divisors is an integer number (748620).

Almost surely, 210712296 is an apocalyptic number.

It is an amenable number.

10712296 is an abundant number, since it is smaller than the sum of its proper divisors (13243544).

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

10712296 is a wasteful number, since it uses less digits than its factorization.

10712296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8353 (or 8349 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 10712296 is about 3272.9644055504. The cubic root of 10712296 is about 220.4419216197.

Adding to 10712296 its reverse (69221701), we get a palindrome (79933997).

It can be divided in two parts, 107 and 12296, that added together give a triangular number (12403 = T157).

The spelling of 10712296 in words is "ten million, seven hundred twelve thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 8317 16634 33268 58219 66536 116438 191291 232876 382582 465752 765164 1339037 1530328 2678074 5356148 10712296