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132555240 = 23325438563
BaseRepresentation
bin1111110011010…
…10000111101000
3100020102111121100
413321222013220
5232413231430
621053041400
73166462266
oct771520750
9306374540
10132555240
1168907794
1238486260
132160186c
1413867436
15b985960
hex7e6a1e8

132555240 has 96 divisors (see below), whose sum is σ = 440874720. Its totient is φ = 34521984.

The previous prime is 132555217. The next prime is 132555277. The reversal of 132555240 is 42555231.

It is a happy number.

132555240 is a `hidden beast` number, since 132 + 5 + 5 + 524 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11199 + ... + 19761.

It is an arithmetic number, because the mean of its divisors is an integer number (4592445).

Almost surely, 2132555240 is an apocalyptic number.

132555240 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 132555240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220437360).

132555240 is an abundant number, since it is smaller than the sum of its proper divisors (308319480).

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

132555240 is a wasteful number, since it uses less digits than its factorization.

132555240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8623 (or 8616 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 132555240 is about 11513.2636554541. The cubic root of 132555240 is about 509.8772484274.

Subtracting from 132555240 its reverse (42555231), we obtain a palindrome (90000009).

It can be divided in two parts, 1325 and 55240, that added together give a palindrome (56565).

The spelling of 132555240 in words is "one hundred thirty-two million, five hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 7740 8563 15480 17126 25689 34252 42815 51378 68504 77067 85630 102756 128445 154134 171260 205512 256890 308268 342520 368209 385335 513780 616536 736418 770670 1027560 1104627 1472836 1541340 1841045 2209254 2945672 3082680 3313881 3682090 4418508 5523135 6627762 7364180 8837016 11046270 13255524 14728360 16569405 22092540 26511048 33138810 44185080 66277620 132555240