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132611640 = 233572191187
BaseRepresentation
bin1111110011101…
…11111000111000
3100020112100222020
413321313320320
5232422033030
621054154440
73200115600
oct771677070
9306470866
10132611640
11689460a7
12384b2a20
1321621435
141387dc00
15b997510
hex7e77e38

132611640 has 192 divisors, whose sum is σ = 487555200. Its totient is φ = 28691712.

The previous prime is 132611617. The next prime is 132611653. The reversal of 132611640 is 46116231.

Added to its reverse (46116231) 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 nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 132611640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111127 + ... + 112313.

It is an arithmetic number, because the mean of its divisors is an integer number (2539350).

Almost surely, 2132611640 is an apocalyptic number.

132611640 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 132611640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243777600).

132611640 is an abundant number, since it is smaller than the sum of its proper divisors (354943560).

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

132611640 is a wasteful number, since it uses less digits than its factorization.

132611640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1223 counting only the distinct ones).

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

The square root of 132611640 is about 11515.7127438991. The cubic root of 132611640 is about 509.9495528725.

Adding to 132611640 its reverse (46116231), we get a palindrome (178727871).

The spelling of 132611640 in words is "one hundred thirty-two million, six hundred eleven thousand, six hundred forty".