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10131765 = 35796493
BaseRepresentation
bin100110101001…
…100100110101
3201001202011120
4212221210311
510043204030
61001054153
7152055450
oct46514465
921052146
1010131765
1157a0166
123487359
132139837
1414ba497
15d52010
hex9a9935

10131765 has 16 divisors (see below), whose sum is σ = 18526848. Its totient is φ = 4631616.

The previous prime is 10131763. The next prime is 10131773. The reversal of 10131765 is 56713101.

10131765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10131765 - 21 = 10131763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131763) 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, 48142 + ... + 48351.

It is an arithmetic number, because the mean of its divisors is an integer number (1157928).

Almost surely, 210131765 is an apocalyptic number.

10131765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10131765 is a deficient number, since it is larger than the sum of its proper divisors (8395083).

10131765 is an equidigital number, since it uses as much as digits as its factorization.

10131765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96508.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 10131765 is about 3183.0433550299. The cubic root of 10131765 is about 216.3856066382.

Adding to 10131765 its reverse (56713101), we get a palindrome (66844866).

The spelling of 10131765 in words is "ten million, one hundred thirty-one thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 15 21 35 105 96493 289479 482465 675451 1447395 2026353 3377255 10131765