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132322560 = 2835172027
BaseRepresentation
bin1111110001100…
…01010100000000
3100012222200102120
413320301110000
5232333310220
621044044240
73164503026
oct770612400
9305880376
10132322560
1168768997
1238393680
132154c996
1413806716
15b93ba40
hex7e31500

132322560 has 144 divisors (see below), whose sum is σ = 447685056. Its totient is φ = 33193984.

The previous prime is 132322559. The next prime is 132322571. The reversal of 132322560 is 65223231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132322560.

It is a congruent number.

It is an unprimeable number.

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, 64267 + ... + 66293.

It is an arithmetic number, because the mean of its divisors is an integer number (3108924).

Almost surely, 2132322560 is an apocalyptic number.

132322560 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 132322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223842528).

132322560 is an abundant number, since it is smaller than the sum of its proper divisors (315362496).

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

132322560 is a wasteful number, since it uses less digits than its factorization.

132322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 132322560 is about 11503.1543500033. The cubic root of 132322560 is about 509.5787370976.

Adding to 132322560 its reverse (65223231), we get a palindrome (197545791).

The spelling of 132322560 in words is "one hundred thirty-two million, three hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1920 2027 2040 2176 2720 3264 3840 4054 4080 4352 5440 6081 6528 8108 8160 10135 10880 12162 13056 16216 16320 20270 21760 24324 30405 32432 32640 34459 40540 48648 60810 64864 65280 68918 81080 97296 103377 121620 129728 137836 162160 172295 194592 206754 243240 259456 275672 324320 344590 389184 413508 486480 516885 518912 551344 648640 689180 778368 827016 972960 1033770 1102688 1297280 1378360 1556736 1654032 1945920 2067540 2205376 2594560 2756720 3308064 3891840 4135080 4410752 5513440 6616128 7783680 8270160 8821504 11026880 13232256 16540320 22053760 26464512 33080640 44107520 66161280 132322560