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132540240 = 2435778893
BaseRepresentation
bin1111110011001…
…10011101010000
3100020101202000210
413321212131100
5232412241430
621052444120
73166400460
oct771463520
9306352023
10132540240
11688a7498
1238479640
13215c7aa1
1413861ba0
15b9812b0
hex7e66750

132540240 has 80 divisors (see below), whose sum is σ = 469577088. Its totient is φ = 30294528.

The previous prime is 132540217. The next prime is 132540269. The reversal of 132540240 is 42045231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37767 + ... + 41126.

Almost surely, 2132540240 is an apocalyptic number.

132540240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132540240 is an abundant number, since it is smaller than the sum of its proper divisors (337036848).

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

132540240 is a wasteful number, since it uses less digits than its factorization.

132540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78916 (or 78910 counting only the distinct ones).

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

The square root of 132540240 is about 11512.6122144368. The cubic root of 132540240 is about 509.8580150692.

Adding to 132540240 its reverse (42045231), we get a palindrome (174585471).

It can be divided in two parts, 132540 and 240, that multiplied together give a square (31809600 = 56402).

The spelling of 132540240 in words is "one hundred thirty-two million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 78893 157786 236679 315572 394465 473358 552251 631144 788930 946716 1104502 1183395 1262288 1577860 1656753 1893432 2209004 2366790 2761255 3155720 3313506 3786864 4418008 4733580 5522510 6311440 6627012 8283765 8836016 9467160 11045020 13254024 16567530 18934320 22090040 26508048 33135060 44180080 66270120 132540240