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132347640 = 23352115227
BaseRepresentation
bin1111110001101…
…11011011111000
3100020000221211110
413320313123320
5232340111030
621044400320
73164636115
oct770673370
9306027743
10132347640
1168785817
12383a60a0
132155b219
141381190c
15b9441b0
hex7e376f8

132347640 has 64 divisors (see below), whose sum is σ = 399000960. Its totient is φ = 35118720.

The previous prime is 132347623. The next prime is 132347641. The reversal of 132347640 is 46743231.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132347598 and 132347607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132347641) 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, 22707 + ... + 27933.

It is an arithmetic number, because the mean of its divisors is an integer number (6234390).

Almost surely, 2132347640 is an apocalyptic number.

132347640 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 132347640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199500480).

132347640 is an abundant number, since it is smaller than the sum of its proper divisors (266653320).

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

132347640 is a wasteful number, since it uses less digits than its factorization.

132347640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 132347640 is about 11504.2444341208. The cubic root of 132347640 is about 509.6109297118.

The spelling of 132347640 in words is "one hundred thirty-two million, three hundred forty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 211 422 633 844 1055 1266 1688 2110 2532 3165 4220 5064 5227 6330 8440 10454 12660 15681 20908 25320 26135 31362 41816 52270 62724 78405 104540 125448 156810 209080 313620 627240 1102897 2205794 3308691 4411588 5514485 6617382 8823176 11028970 13234764 16543455 22057940 26469528 33086910 44115880 66173820 132347640