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132031240 = 235111012971
BaseRepresentation
bin1111101111010…
…10001100001000
3100012102212210221
413313222030020
5232244444430
621033515424
73162150505
oct767521410
9305385727
10132031240
116858a030
1238272b74
132147a1c3
141376c4ac
15b8d057a
hex7dea308

132031240 has 64 divisors (see below), whose sum is σ = 327395520. Its totient is φ = 47520000.

The previous prime is 132031223. The next prime is 132031241. The reversal of 132031240 is 42130231.

It is a happy number.

It is a super-3 number, since 3×1320312403 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132031241) 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, 42955 + ... + 45925.

It is an arithmetic number, because the mean of its divisors is an integer number (5115555).

Almost surely, 2132031240 is an apocalyptic number.

132031240 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 132031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163697760).

132031240 is an abundant number, since it is smaller than the sum of its proper divisors (195364280).

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

132031240 is a wasteful number, since it uses less digits than its factorization.

132031240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132031240 is about 11490.4847591388. The cubic root of 132031240 is about 509.2045012064.

Adding to 132031240 its reverse (42130231), we get a palindrome (174161471).

The spelling of 132031240 in words is "one hundred thirty-two million, thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 2971 4040 4444 5555 5942 8888 11110 11884 14855 22220 23768 29710 32681 44440 59420 65362 118840 130724 163405 261448 300071 326810 600142 653620 1200284 1307240 1500355 2400568 3000710 3300781 6001420 6601562 12002840 13203124 16503905 26406248 33007810 66015620 132031240