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132116640 = 25353743173
BaseRepresentation
bin1111101111111…
…11000010100000
3100012121012221220
413313333002200
5232310213030
621035415040
73162654465
oct767770240
9305535856
10132116640
1168638207
12382b4480
13214aa036
141379166c
15b8eaa10
hex7dff0a0

132116640 has 192 divisors, whose sum is σ = 439883136. Its totient is φ = 33288192.

The previous prime is 132116629. The next prime is 132116657. The reversal of 132116640 is 46611231.

Added to its reverse (46611231) it gives a triangular number (178727871 = T18906).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132116640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763594 + ... + 763766.

It is an arithmetic number, because the mean of its divisors is an integer number (2291058).

Almost surely, 2132116640 is an apocalyptic number.

132116640 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 132116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219941568).

132116640 is an abundant number, since it is smaller than the sum of its proper divisors (307766496).

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

132116640 is a wasteful number, since it uses less digits than its factorization.

132116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 132116640 is about 11494.2002766613. The cubic root of 132116640 is about 509.3142648551.

Adding to 132116640 its reverse (46611231), we get a palindrome (178727871).

It can be divided in two parts, 13 and 2116640, that added together give a triangular number (2116653 = T2057).

The spelling of 132116640 in words is "one hundred thirty-two million, one hundred sixteen thousand, six hundred forty".