[go: up one dir, main page]

Search a number
-
+
107381142 = 232112918701
BaseRepresentation
bin1100110011010…
…00000110010110
321111001112020100
412121220012112
5204442144032
614353314530
72442503361
oct631500626
9244045210
10107381142
1155683050
122bb65a46
131932934b
14103930d8
15966197c
hex6668196

107381142 has 48 divisors (see below), whose sum is σ = 262576080. Its totient is φ = 31416000.

The previous prime is 107381123. The next prime is 107381149. The reversal of 107381142 is 241183701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107381149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3609 + ... + 15092.

It is an arithmetic number, because the mean of its divisors is an integer number (5470335).

Almost surely, 2107381142 is an apocalyptic number.

107381142 is an abundant number, since it is smaller than the sum of its proper divisors (155194938).

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

107381142 is a wasteful number, since it uses less digits than its factorization.

107381142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18749 (or 18746 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 107381142 is about 10362.4872496906. The cubic root of 107381142 is about 475.3089653785.

It can be divided in two parts, 1073 and 81142, that added together give a triangular number (82215 = T405).

The spelling of 107381142 in words is "one hundred seven million, three hundred eighty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742 18701 37402 56103 112206 168309 205711 336618 411422 542329 617133 1084658 1234266 1626987 1851399 3253974 3702798 4880961 5965619 9761922 11931238 17896857 35793714 53690571 107381142