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132113240 = 23574710039
BaseRepresentation
bin1111101111111…
…10001101011000
3100012121001021222
413313332031120
5232310110430
621035351212
73162641540
oct767761530
9305531258
10132113240
11686356a6
12382b2508
13214a861c
1413790320
15b8e99e5
hex7dfe358

132113240 has 64 divisors (see below), whose sum is σ = 346982400. Its totient is φ = 44327808.

The previous prime is 132113209. The next prime is 132113249. The reversal of 132113240 is 42311231.

132113240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132113249) 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, 8141 + ... + 18179.

It is an arithmetic number, because the mean of its divisors is an integer number (5421600).

Almost surely, 2132113240 is an apocalyptic number.

132113240 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 132113240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173491200).

132113240 is an abundant number, since it is smaller than the sum of its proper divisors (214869160).

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

132113240 is a wasteful number, since it uses less digits than its factorization.

132113240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10104 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 132113240 is about 11494.0523750329. The cubic root of 132113240 is about 509.3098957780.

Adding to 132113240 its reverse (42311231), we get a palindrome (174424471).

The spelling of 132113240 in words is "one hundred thirty-two million, one hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 10039 13160 20078 40156 50195 70273 80312 100390 140546 200780 281092 351365 401560 471833 562184 702730 943666 1405460 1887332 2359165 2810920 3302831 3774664 4718330 6605662 9436660 13211324 16514155 18873320 26422648 33028310 66056620 132113240