Search a number
-
+
132396040 = 23572312179
BaseRepresentation
bin1111110010000…
…11010000001000
3100020010102020001
413321003100020
5232343133130
621045412344
73165230200
oct771032010
9306112201
10132396040
1168809117
123840a0b4
132157726a
1413825400
15b9536ca
hex7e43408

132396040 has 96 divisors (see below), whose sum is σ = 357868800. Its totient is φ = 43908480.

The previous prime is 132396037. The next prime is 132396109. The reversal of 132396040 is 40693231.

It is a super-2 number, since 2×1323960402 = 35057422815363200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59671 + ... + 61849.

It is an arithmetic number, because the mean of its divisors is an integer number (3727800).

Almost surely, 2132396040 is an apocalyptic number.

132396040 is a gapful number since it is divisible by the number (10) 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 132396040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178934400).

132396040 is an abundant number, since it is smaller than the sum of its proper divisors (225472760).

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

132396040 is a wasteful number, since it uses less digits than its factorization.

132396040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 132396040 is about 11506.3478132725. The cubic root of 132396040 is about 509.6730443136.

The spelling of 132396040 in words is "one hundred thirty-two million, three hundred ninety-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 49 56 62 70 98 124 140 155 196 217 245 248 280 310 392 434 490 620 868 980 1085 1240 1519 1736 1960 2170 2179 3038 4340 4358 6076 7595 8680 8716 10895 12152 15190 15253 17432 21790 30380 30506 43580 60760 61012 67549 76265 87160 106771 122024 135098 152530 213542 270196 305060 337745 427084 472843 533855 540392 610120 675490 854168 945686 1067710 1350980 1891372 2135420 2364215 2701960 3309901 3782744 4270840 4728430 6619802 9456860 13239604 16549505 18913720 26479208 33099010 66198020 132396040