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132512240 = 2457435503
BaseRepresentation
bin1111110010111…
…11100111110000
3100020100022121202
413321133213300
5232410342430
621052110332
73166223030
oct771374760
9306308552
10132512240
1168888453
12384653a8
13215b8113
14138558c0
15b977d45
hex7e5f9f0

132512240 has 80 divisors (see below), whose sum is σ = 360357888. Its totient is φ = 44368128.

The previous prime is 132512221. The next prime is 132512249. The reversal of 132512240 is 42215231.

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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132512249) 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, 21329 + ... + 26831.

Almost surely, 2132512240 is an apocalyptic number.

132512240 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 132512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180178944).

132512240 is an abundant number, since it is smaller than the sum of its proper divisors (227845648).

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

132512240 is a wasteful number, since it uses less digits than its factorization.

132512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 132512240 is about 11511.3960925684. The cubic root of 132512240 is about 509.8221089176.

Adding to 132512240 its reverse (42215231), we get a palindrome (174727471).

The spelling of 132512240 in words is "one hundred thirty-two million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1720 2408 3010 3440 4816 5503 6020 11006 12040 22012 24080 27515 38521 44024 55030 77042 88048 110060 154084 192605 220120 236629 308168 385210 440240 473258 616336 770420 946516 1183145 1540840 1656403 1893032 2366290 3081680 3312806 3786064 4732580 6625612 8282015 9465160 13251224 16564030 18930320 26502448 33128060 66256120 132512240