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132345440 = 2551794621
BaseRepresentation
bin1111110001101…
…10111001100000
3100020000211210222
413320312321200
5232340023230
621044342212
73164626523
oct770667140
9306024728
10132345440
11687840a7
12383a4968
132155a216
1413810bba
15b9436e5
hex7e36e60

132345440 has 48 divisors (see below), whose sum is σ = 314480880. Its totient is φ = 52631040.

The previous prime is 132345419. The next prime is 132345449. The reversal of 132345440 is 44543231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132345449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26330 + ... + 30950.

It is an arithmetic number, because the mean of its divisors is an integer number (6551685).

Almost surely, 2132345440 is an apocalyptic number.

132345440 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 132345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157240440).

132345440 is an abundant number, since it is smaller than the sum of its proper divisors (182135440).

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

132345440 is a wasteful number, since it uses less digits than its factorization.

132345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 132345440 is about 11504.1488168399. The cubic root of 132345440 is about 509.6081059610.

Adding to 132345440 its reverse (44543231), we get a palindrome (176888671).

The spelling of 132345440 in words is "one hundred thirty-two million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 179 358 716 895 1432 1790 2864 3580 4621 5728 7160 9242 14320 18484 23105 28640 36968 46210 73936 92420 147872 184840 369680 739360 827159 1654318 3308636 4135795 6617272 8271590 13234544 16543180 26469088 33086360 66172720 132345440