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132228960 = 2535833319
BaseRepresentation
bin1111110000110…
…10011101100000
3100012210221000220
413320122131200
5232322311320
621042043040
73163633113
oct770323540
9305727026
10132228960
1168704636
1238349480
13215191b6
14137c057a
15b91de40
hex7e1a760

132228960 has 96 divisors (see below), whose sum is σ = 421666560. Its totient is φ = 34825728.

The previous prime is 132228959. The next prime is 132228973. The reversal of 132228960 is 69822231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38181 + ... + 41499.

It is an arithmetic number, because the mean of its divisors is an integer number (4392360).

Almost surely, 2132228960 is an apocalyptic number.

132228960 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 132228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210833280).

132228960 is an abundant number, since it is smaller than the sum of its proper divisors (289437600).

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

132228960 is a wasteful number, since it uses less digits than its factorization.

132228960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 132228960 is about 11499.0851810046. The cubic root of 132228960 is about 509.4585564812.

The spelling of 132228960 in words is "one hundred thirty-two million, two hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 83 96 120 160 166 240 249 332 415 480 498 664 830 996 1245 1328 1660 1992 2490 2656 3319 3320 3984 4980 6638 6640 7968 9957 9960 13276 13280 16595 19914 19920 26552 33190 39828 39840 49785 53104 66380 79656 99570 106208 132760 159312 199140 265520 275477 318624 398280 531040 550954 796560 826431 1101908 1377385 1593120 1652862 2203816 2754770 3305724 4132155 4407632 5509540 6611448 8264310 8815264 11019080 13222896 16528620 22038160 26445792 33057240 44076320 66114480 132228960