Search a number
-
+
132869720 = 23531831291
BaseRepresentation
bin1111110101101…
…10111001011000
3100021000110222202
413322312321120
5233003312340
621103505332
73202242164
oct772667130
9307013882
10132869720
1169001a95
12385b8248
13216b1a49
1413909ca4
15b9e8c15
hex7eb6e58

132869720 has 64 divisors (see below), whose sum is σ = 312560640. Its totient is φ = 50774400.

The previous prime is 132869669. The next prime is 132869729. The reversal of 132869720 is 27968231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132869729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102275 + ... + 103565.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2132869720 is an apocalyptic number.

132869720 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 132869720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320).

132869720 is an abundant number, since it is smaller than the sum of its proper divisors (179690920).

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

132869720 is a wasteful number, since it uses less digits than its factorization.

132869720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 132869720 is about 11526.9128564417. The cubic root of 132869720 is about 510.2801485310.

The spelling of 132869720 in words is "one hundred thirty-two million, eight hundred sixty-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 83 124 155 166 248 310 332 415 620 664 830 1240 1291 1660 2573 2582 3320 5146 5164 6455 10292 10328 12865 12910 20584 25730 25820 40021 51460 51640 80042 102920 107153 160084 200105 214306 320168 400210 428612 535765 800420 857224 1071530 1600840 2143060 3321743 4286120 6643486 13286972 16608715 26573944 33217430 66434860 132869720