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132112340 = 225431491031
BaseRepresentation
bin1111101111111…
…01111111010100
3100012121000001122
413313331333110
5232310043330
621035343112
73162636113
oct767757724
9305530048
10132112340
1168634a58
12382b1a98
13214a80a9
141378dc7a
15b8e95e5
hex7dfdfd4

132112340 has 48 divisors (see below), whose sum is σ = 286070400. Its totient is φ = 51219840.

The previous prime is 132112333. The next prime is 132112349. The reversal of 132112340 is 43211231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132112349) 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, 127625 + ... + 128655.

It is an arithmetic number, because the mean of its divisors is an integer number (5959800).

Almost surely, 2132112340 is an apocalyptic number.

132112340 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 132112340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143035200).

132112340 is an abundant number, since it is smaller than the sum of its proper divisors (153958060).

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

132112340 is a wasteful number, since it uses less digits than its factorization.

132112340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 132112340 is about 11494.0132242833. The cubic root of 132112340 is about 509.3087392451.

Adding to 132112340 its reverse (43211231), we get a palindrome (175323571).

It can be divided in two parts, 13211 and 2340, that added together give a palindrome (15551).

The spelling of 132112340 in words is "one hundred thirty-two million, one hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 86 149 172 215 298 430 596 745 860 1031 1490 2062 2980 4124 5155 6407 10310 12814 20620 25628 32035 44333 64070 88666 128140 153619 177332 221665 307238 443330 614476 768095 886660 1536190 3072380 6605617 13211234 26422468 33028085 66056170 132112340