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132408720 = 24325199679
BaseRepresentation
bin1111110010001…
…10010110010000
3100020011001121200
413321012112100
5232344034340
621045551200
73165312153
oct771062620
9306131550
10132408720
11688176a4
1238415500
132157cc72
1413829c9a
15b957330
hex7e46590

132408720 has 120 divisors (see below), whose sum is σ = 468124800. Its totient is φ = 33447168.

The previous prime is 132408707. The next prime is 132408737. The reversal of 132408720 is 27804231.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 8841 + ... + 18519.

It is an arithmetic number, because the mean of its divisors is an integer number (3901040).

Almost surely, 2132408720 is an apocalyptic number.

132408720 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 132408720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234062400).

132408720 is an abundant number, since it is smaller than the sum of its proper divisors (335716080).

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

132408720 is a wasteful number, since it uses less digits than its factorization.

132408720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9717 (or 9708 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 132408720 is about 11506.8988002850. The cubic root of 132408720 is about 509.6893148101.

The spelling of 132408720 in words is "one hundred thirty-two million, four hundred eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 9679 13680 19358 29037 38716 48395 58074 77432 87111 96790 116148 145185 154864 174222 183901 193580 232296 290370 348444 367802 387160 435555 464592 551703 580740 696888 735604 774320 871110 919505 1103406 1161480 1393776 1471208 1655109 1742220 1839010 2206812 2322960 2758515 2942416 3310218 3484440 3678020 4413624 5517030 6620436 6968880 7356040 8275545 8827248 11034060 13240872 14712080 16551090 22068120 26481744 33102180 44136240 66204360 132408720