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132842160 = 24335115591
BaseRepresentation
bin1111110101100…
…00001010110000
3100020222002012000
413322300022300
5233001422120
621103134000
73202065633
oct772601260
9306862160
10132842160
1168a93310
12385a4300
13216a2339
14138ddc1a
15b9e0990
hex7eb02b0

132842160 has 160 divisors (see below), whose sum is σ = 499253760. Its totient is φ = 32198400.

The previous prime is 132842159. The next prime is 132842191. The reversal of 132842160 is 61248231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20965 + ... + 26555.

It is an arithmetic number, because the mean of its divisors is an integer number (3120336).

Almost surely, 2132842160 is an apocalyptic number.

132842160 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 132842160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249626880).

132842160 is an abundant number, since it is smaller than the sum of its proper divisors (366411600).

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

132842160 is a wasteful number, since it uses less digits than its factorization.

132842160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 132842160 is about 11525.7173312554. The cubic root of 132842160 is about 510.2448651136.

The spelling of 132842160 in words is "one hundred thirty-two million, eight hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5591 5940 7920 11182 11880 16773 22364 23760 27955 33546 44728 50319 55910 61501 67092 83865 89456 100638 111820 123002 134184 150957 167730 184503 201276 223640 246004 251595 268368 301914 307505 335460 369006 402552 447280 492008 503190 553509 603828 615010 670920 738012 754785 805104 922515 984016 1006380 1107018 1207656 1230020 1341840 1476024 1509570 1660527 1845030 2012760 2214036 2415312 2460040 2767545 2952048 3019140 3321054 3690060 4025520 4428072 4920080 5535090 6038280 6642108 7380120 8302635 8856144 11070180 12076560 13284216 14760240 16605270 22140360 26568432 33210540 44280720 66421080 132842160