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132423120 = 24335101607
BaseRepresentation
bin1111110010010…
…01110111010000
3100020011210101000
413321021313100
5232400014440
621050142000
73165402144
oct771116720
9306153330
10132423120
11688274a5
1238421900
132158669b
1413831224
15b95b730
hex7e49dd0

132423120 has 160 divisors (see below), whose sum is σ = 461399040. Its totient is φ = 34905600.

The previous prime is 132423113. The next prime is 132423127. The reversal of 132423120 is 21324231.

It is an interprime number because it is at equal distance from previous prime (132423113) and next prime (132423127).

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 = 132423093 and 132423102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132423127) 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, 217857 + ... + 218463.

It is an arithmetic number, because the mean of its divisors is an integer number (2883744).

Almost surely, 2132423120 is an apocalyptic number.

132423120 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 132423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230699520).

132423120 is an abundant number, since it is smaller than the sum of its proper divisors (328975920).

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

132423120 is a wasteful number, since it uses less digits than its factorization.

132423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132423120 is about 11507.5244948686. The cubic root of 132423120 is about 509.7077910859.

Adding to 132423120 its reverse (21324231), we get a palindrome (153747351).

The spelling of 132423120 in words is "one hundred thirty-two million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 101 108 120 135 144 180 202 216 240 270 303 360 404 432 505 540 606 607 720 808 909 1010 1080 1212 1214 1515 1616 1818 1821 2020 2160 2424 2428 2727 3030 3035 3636 3642 4040 4545 4848 4856 5454 5463 6060 6070 7272 7284 8080 9090 9105 9712 10908 10926 12120 12140 13635 14544 14568 16389 18180 18210 21816 21852 24240 24280 27270 27315 29136 32778 36360 36420 43632 43704 48560 54540 54630 61307 65556 72720 72840 81945 87408 109080 109260 122614 131112 145680 163890 183921 218160 218520 245228 262224 306535 327780 367842 437040 490456 551763 613070 655560 735684 919605 980912 1103526 1226140 1311120 1471368 1655289 1839210 2207052 2452280 2758815 2942736 3310578 3678420 4414104 4904560 5517630 6621156 7356840 8276445 8828208 11035260 13242312 14713680 16552890 22070520 26484624 33105780 44141040 66211560 132423120