Search a number
-
+
132113544 = 23343313409
BaseRepresentation
bin1111101111111…
…10010010001000
3100012121001201020
413313332102020
5232310113134
621035352440
73162642453
oct767762210
9305531636
10132113544
1168635952
12382b2720
13214a87c4
141379049a
15b8e9b49
hex7dfe488

132113544 has 64 divisors (see below), whose sum is σ = 339873600. Its totient is φ = 42771456.

The previous prime is 132113543. The next prime is 132113551. The reversal of 132113544 is 445311231.

It is a happy number.

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 (132113543) 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, 322812 + ... + 323220.

It is an arithmetic number, because the mean of its divisors is an integer number (5310525).

Almost surely, 2132113544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132113544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169936800).

132113544 is an abundant number, since it is smaller than the sum of its proper divisors (207760056).

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

132113544 is a wasteful number, since it uses less digits than its factorization.

132113544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 770 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 132113544 is about 11494.0655992560. The cubic root of 132113544 is about 509.3102864280.

Adding to 132113544 its reverse (445311231), we get a palindrome (577424775).

The spelling of 132113544 in words is "one hundred thirty-two million, one hundred thirteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 313 344 409 516 626 818 939 1032 1227 1252 1636 1878 2454 2504 3272 3756 4908 7512 9816 13459 17587 26918 35174 40377 52761 53836 70348 80754 105522 107672 128017 140696 161508 211044 256034 323016 384051 422088 512068 768102 1024136 1536204 3072408 5504731 11009462 16514193 22018924 33028386 44037848 66056772 132113544