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132450240 = 26351310613
BaseRepresentation
bin1111110010100…
…00011111000000
3100020020011120110
413321100133000
5232401401430
621050511320
73165544206
oct771203700
9306204513
10132450240
116884590a
1238435540
1321595b30
141383b076
15b9647b0
hex7e507c0

132450240 has 112 divisors (see below), whose sum is σ = 452920608. Its totient is φ = 32600064.

The previous prime is 132450239. The next prime is 132450257. The reversal of 132450240 is 42054231.

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 15 ways as a sum of consecutive naturals, for example, 7174 + ... + 17786.

It is an arithmetic number, because the mean of its divisors is an integer number (4043934).

Almost surely, 2132450240 is an apocalyptic number.

132450240 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 132450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226460304).

132450240 is an abundant number, since it is smaller than the sum of its proper divisors (320470368).

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

132450240 is a wasteful number, since it uses less digits than its factorization.

132450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10646 (or 10636 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 132450240 is about 11508.7027939729. The cubic root of 132450240 is about 509.7425844355.

The spelling of 132450240 in words is "one hundred thirty-two million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 10613 12480 21226 31839 42452 53065 63678 84904 106130 127356 137969 159195 169808 212260 254712 275938 318390 339616 413907 424520 509424 551876 636780 679232 689845 827814 849040 1018848 1103752 1273560 1379690 1655628 1698080 2037696 2069535 2207504 2547120 2759380 3311256 3396160 4139070 4415008 5094240 5518760 6622512 8278140 8830016 10188480 11037520 13245024 16556280 22075040 26490048 33112560 44150080 66225120 132450240