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132440560 = 2457713331
BaseRepresentation
bin1111110010011…
…10000111110000
3100020012200021221
413321032013300
5232401044220
621050354424
73165504040
oct771160760
9306180257
10132440560
116883960a
123842ba14
13215915c5
1413837720
15b9619aa
hex7e4e1f0

132440560 has 80 divisors (see below), whose sum is σ = 356977152. Its totient is φ = 44755200.

The previous prime is 132440549. The next prime is 132440569. The reversal of 132440560 is 65044231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1324405602 = 35081003866227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132440569) 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, 38095 + ... + 41425.

Almost surely, 2132440560 is an apocalyptic number.

132440560 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 132440560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178488576).

132440560 is an abundant number, since it is smaller than the sum of its proper divisors (224536592).

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

132440560 is a wasteful number, since it uses less digits than its factorization.

132440560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 132440560 is about 11508.2822349819. The cubic root of 132440560 is about 509.7301661154.

Adding to 132440560 its reverse (65044231), we get a palindrome (197484791).

The spelling of 132440560 in words is "one hundred thirty-two million, four hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 71 80 112 140 142 280 284 355 497 560 568 710 994 1136 1420 1988 2485 2840 3331 3976 4970 5680 6662 7952 9940 13324 16655 19880 23317 26648 33310 39760 46634 53296 66620 93268 116585 133240 186536 233170 236501 266480 373072 466340 473002 932680 946004 1182505 1655507 1865360 1892008 2365010 3311014 3784016 4730020 6622028 8277535 9460040 13244056 16555070 18920080 26488112 33110140 66220280 132440560