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132883360 = 2553173367
BaseRepresentation
bin1111110101110…
…10001110100000
3100021001011200221
413322322032200
5233004231420
621104052424
73202330021
oct772721640
9307034627
10132883360
1169011265
1238604114
13216b800c
1413910c48
15b9eccaa
hex7eba3a0

132883360 has 96 divisors (see below), whose sum is σ = 329398272. Its totient is φ = 50595840.

The previous prime is 132883357. The next prime is 132883363. The reversal of 132883360 is 63388231.

It is an interprime number because it is at equal distance from previous prime (132883357) and next prime (132883363).

It is not an unprimeable number, because it can be changed into a prime (132883363) 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, 361897 + ... + 362263.

It is an arithmetic number, because the mean of its divisors is an integer number (3431232).

Almost surely, 2132883360 is an apocalyptic number.

132883360 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 132883360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164699136).

132883360 is an abundant number, since it is smaller than the sum of its proper divisors (196514912).

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

132883360 is a wasteful number, since it uses less digits than its factorization.

132883360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 132883360 is about 11527.5045001076. The cubic root of 132883360 is about 510.2976092011.

The spelling of 132883360 in words is "one hundred thirty-two million, eight hundred eighty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 73 80 124 146 155 160 248 292 310 365 367 496 584 620 730 734 992 1168 1240 1460 1468 1835 2263 2336 2480 2920 2936 3670 4526 4960 5840 5872 7340 9052 11315 11377 11680 11744 14680 18104 22630 22754 26791 29360 36208 45260 45508 53582 56885 58720 72416 90520 91016 107164 113770 133955 181040 182032 214328 227540 267910 362080 364064 428656 455080 535820 830521 857312 910160 1071640 1661042 1820320 2143280 3322084 4152605 4286560 6644168 8305210 13288336 16610420 26576672 33220840 66441680 132883360