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132112140 = 223519711177
BaseRepresentation
bin1111101111111…
…01111100001100
3100012120222210020
413313331330030
5232310042030
621035342140
73162635406
oct767757414
9305528706
10132112140
1168634896
12382b1950
13214a7c84
141378db76
15b8e9510
hex7dfdf0c

132112140 has 48 divisors (see below), whose sum is σ = 371824992. Its totient is φ = 35047936.

The previous prime is 132112091. The next prime is 132112147. The reversal of 132112140 is 41211231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (132112147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6232 + ... + 17408.

It is an arithmetic number, because the mean of its divisors is an integer number (7746354).

Almost surely, 2132112140 is an apocalyptic number.

132112140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132112140 is an abundant number, since it is smaller than the sum of its proper divisors (239712852).

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

132112140 is a wasteful number, since it uses less digits than its factorization.

132112140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11386 (or 11384 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 132112140 is about 11494.0045240986. The cubic root of 132112140 is about 509.3084822370.

Adding to 132112140 its reverse (41211231), we get a palindrome (173323371).

Subtracting from 132112140 its reverse (41211231), we obtain a palindrome (90900909).

It can be divided in two parts, 13211 and 2140, that added together give a palindrome (15351).

The spelling of 132112140 in words is "one hundred thirty-two million, one hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 197 394 591 788 985 1182 1970 2364 2955 3940 5910 11177 11820 22354 33531 44708 55885 67062 111770 134124 167655 223540 335310 670620 2201869 4403738 6605607 8807476 11009345 13211214 22018690 26422428 33028035 44037380 66056070 132112140