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132156560 = 2455371439
BaseRepresentation
bin1111110000010…
…00110010010000
3100012200020201102
413320020302100
5232313002220
621040323532
73163212044
oct770106220
9305606642
10132156560
11686651a8
12383135a8
13214c2263
14137a2024
15b907775
hex7e08c90

132156560 has 80 divisors (see below), whose sum is σ = 318193920. Its totient is φ = 51018240.

The previous prime is 132156553. The next prime is 132156569. The reversal of 132156560 is 65651231.

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

It is not an unprimeable number, because it can be changed into a prime (132156569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300821 + ... + 301259.

It is an arithmetic number, because the mean of its divisors is an integer number (3977424).

Almost surely, 2132156560 is an apocalyptic number.

132156560 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 132156560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159096960).

132156560 is an abundant number, since it is smaller than the sum of its proper divisors (186037360).

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

132156560 is a wasteful number, since it uses less digits than its factorization.

132156560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 132156560 is about 11495.9366734512. The cubic root of 132156560 is about 509.3655573544.

The spelling of 132156560 in words is "one hundred thirty-two million, one hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 53 71 80 106 142 212 265 284 355 424 439 530 568 710 848 878 1060 1136 1420 1756 2120 2195 2840 3512 3763 4240 4390 5680 7024 7526 8780 15052 17560 18815 23267 30104 31169 35120 37630 46534 60208 62338 75260 93068 116335 124676 150520 155845 186136 232670 249352 301040 311690 372272 465340 498704 623380 930680 1246760 1651957 1861360 2493520 3303914 6607828 8259785 13215656 16519570 26431312 33039140 66078280 132156560