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132259440 = 24354113441
BaseRepresentation
bin1111110001000…
…01111001110000
3100012212110211210
413320201321300
5232324300230
621042440120
73164121015
oct770417160
9305773753
10132259440
1168725525
1238363040
132152a031
14137cb70c
15b927eb0
hex7e21e70

132259440 has 80 divisors (see below), whose sum is σ = 420035616. Its totient is φ = 34406400.

The previous prime is 132259427. The next prime is 132259441. The reversal of 132259440 is 44952231.

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

It is a super-2 number, since 2×1322594402 = 34985118938227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132259398 and 132259407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132259441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3120 + ... + 16560.

Almost surely, 2132259440 is an apocalyptic number.

132259440 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 132259440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210017808).

132259440 is an abundant number, since it is smaller than the sum of its proper divisors (287776176).

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

132259440 is a wasteful number, since it uses less digits than its factorization.

132259440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13498 (or 13492 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 132259440 is about 11500.4104274587. The cubic root of 132259440 is about 509.4976984458.

The spelling of 132259440 in words is "one hundred thirty-two million, two hundred fifty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 13441 26882 40323 53764 67205 80646 107528 134410 161292 201615 215056 268820 322584 403230 537640 551081 645168 806460 1075280 1102162 1612920 1653243 2204324 2755405 3225840 3306486 4408648 5510810 6612972 8266215 8817296 11021620 13225944 16532430 22043240 26451888 33064860 44086480 66129720 132259440