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132411140 = 225411131429
BaseRepresentation
bin1111110010001…
…10111100000100
3100020011011221022
413321012330010
5232344124030
621050010312
73165322211
oct771067404
9306134838
10132411140
11688194a4
1238416998
13215810b4
141382ab08
15b957de5
hex7e46f04

132411140 has 48 divisors (see below), whose sum is σ = 287567280. Its totient is φ = 51179520.

The previous prime is 132411121. The next prime is 132411157. The reversal of 132411140 is 41114231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 86415616 + 45995524 = 9296^2 + 6782^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91946 + ... + 93374.

It is an arithmetic number, because the mean of its divisors is an integer number (5990985).

Almost surely, 2132411140 is an apocalyptic number.

132411140 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 132411140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143783640).

132411140 is an abundant number, since it is smaller than the sum of its proper divisors (155156140).

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

132411140 is a wasteful number, since it uses less digits than its factorization.

132411140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 132411140 is about 11507.0039541142. The cubic root of 132411140 is about 509.6924199445.

Adding to 132411140 its reverse (41114231), we get a palindrome (173525371).

The spelling of 132411140 in words is "one hundred thirty-two million, four hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 113 164 205 226 410 452 565 820 1130 1429 2260 2858 4633 5716 7145 9266 14290 18532 23165 28580 46330 58589 92660 117178 161477 234356 292945 322954 585890 645908 807385 1171780 1614770 3229540 6620557 13241114 26482228 33102785 66205570 132411140