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132344040 = 23358831249
BaseRepresentation
bin1111110001101…
…10100011101000
3100020000202220010
413320312203220
5232340002130
621044331520
73164622453
oct770664350
9306022803
10132344040
1168783044
12383a3ba0
13215596aa
141381049a
15b9430b0
hex7e368e8

132344040 has 64 divisors (see below), whose sum is σ = 397800000. Its totient is φ = 35223552.

The previous prime is 132344029. The next prime is 132344077. The reversal of 132344040 is 40443231.

It is a junction number, because it is equal to n+sod(n) for n = 132343998 and 132344016.

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, 105336 + ... + 106584.

It is an arithmetic number, because the mean of its divisors is an integer number (6215625).

Almost surely, 2132344040 is an apocalyptic number.

132344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132344040 is an abundant number, since it is smaller than the sum of its proper divisors (265455960).

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

132344040 is a wasteful number, since it uses less digits than its factorization.

132344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 132344040 is about 11504.0879690656. The cubic root of 132344040 is about 509.6063090124.

Adding to 132344040 its reverse (40443231), we get a palindrome (172787271).

The spelling of 132344040 in words is "one hundred thirty-two million, three hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 883 1249 1766 2498 2649 3532 3747 4415 4996 5298 6245 7064 7494 8830 9992 10596 12490 13245 14988 17660 18735 21192 24980 26490 29976 35320 37470 49960 52980 74940 105960 149880 1102867 2205734 3308601 4411468 5514335 6617202 8822936 11028670 13234404 16543005 22057340 26468808 33086010 44114680 66172020 132344040