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132034320 = 24335115557
BaseRepresentation
bin1111101111010…
…10111100010000
3100012110001001000
413313222330100
5232300044240
621033542000
73162162465
oct767527420
9305401030
10132034320
1168591380
1238274900
132147b722
141376d66c
15b8d1430
hex7deaf10

132034320 has 160 divisors (see below), whose sum is σ = 496218240. Its totient is φ = 32002560.

The previous prime is 132034277. The next prime is 132034321. The reversal of 132034320 is 23430231.

132034320 is a `hidden beast` number, since 1 + 320 + 343 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132034293 and 132034302.

It is not an unprimeable number, because it can be changed into a prime (132034321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20982 + ... + 26538.

It is an arithmetic number, because the mean of its divisors is an integer number (3101364).

Almost surely, 2132034320 is an apocalyptic number.

132034320 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 132034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248109120).

132034320 is an abundant number, since it is smaller than the sum of its proper divisors (364183920).

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

132034320 is a wasteful number, since it uses less digits than its factorization.

132034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5590 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 132034320 is about 11490.6187822937. The cubic root of 132034320 is about 509.2084607180.

Adding to 132034320 its reverse (23430231), we get a palindrome (155464551).

The spelling of 132034320 in words is "one hundred thirty-two million, thirty-four thousand, three hundred twenty".

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 5557 5940 7920 11114 11880 16671 22228 23760 27785 33342 44456 50013 55570 61127 66684 83355 88912 100026 111140 122254 133368 150039 166710 183381 200052 222280 244508 250065 266736 300078 305635 333420 366762 400104 444560 489016 500130 550143 600156 611270 666840 733524 750195 800208 916905 978032 1000260 1100286 1200312 1222540 1333680 1467048 1500390 1650429 1833810 2000520 2200572 2400624 2445080 2750715 2934096 3000780 3300858 3667620 4001040 4401144 4890160 5501430 6001560 6601716 7335240 8252145 8802288 11002860 12003120 13203432 14670480 16504290 22005720 26406864 33008580 44011440 66017160 132034320