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132450120 = 233351111149
BaseRepresentation
bin1111110010100…
…00011101001000
3100020020011102000
413321100131020
5232401400440
621050511000
73165543645
oct771203510
9306204360
10132450120
1168845810
1238435460
1321595a6a
141383adcc
15b964730
hex7e50748

132450120 has 128 divisors (see below), whose sum is σ = 481680000. Its totient is φ = 32106240.

The previous prime is 132450107. The next prime is 132450133. The reversal of 132450120 is 21054231.

It is an interprime number because it is at equal distance from previous prime (132450107) and next prime (132450133).

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 = 132450093 and 132450102.

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, 6306 + ... + 17454.

It is an arithmetic number, because the mean of its divisors is an integer number (3763125).

Almost surely, 2132450120 is an apocalyptic number.

132450120 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 132450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240840000).

132450120 is an abundant number, since it is smaller than the sum of its proper divisors (349229880).

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

132450120 is a wasteful number, since it uses less digits than its factorization.

132450120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11180 (or 11170 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132450120 is about 11508.6975805258. The cubic root of 132450120 is about 509.7424304931.

The spelling of 132450120 in words is "one hundred thirty-two million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11149 11880 22298 33447 44596 55745 66894 89192 100341 111490 122639 133788 167235 200682 222980 245278 267576 301023 334470 367917 401364 445960 490556 501705 602046 613195 668940 735834 802728 981112 1003410 1103751 1204092 1226390 1337880 1471668 1505115 1839585 2006820 2207502 2408184 2452780 2943336 3010230 3311253 3679170 4013640 4415004 4905560 5518755 6020460 6622506 7358340 8830008 11037510 12040920 13245012 14716680 16556265 22075020 26490024 33112530 44150040 66225060 132450120