Search a number
-
+
131905280 = 285137927
BaseRepresentation
bin1111101110010…
…11011100000000
3100012012111000202
413313023130000
5232231432110
621031104332
73161114333
oct767133400
9305174022
10131905280
1168503431
12382120a8
1321434a80
141373861a
15b8a80a5
hex7dcb700

131905280 has 72 divisors (see below), whose sum is σ = 340301472. Its totient is φ = 48697344.

The previous prime is 131905247. The next prime is 131905289. The reversal of 131905280 is 82509131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131905289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12677 + ... + 20603.

Almost surely, 2131905280 is an apocalyptic number.

131905280 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 131905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170150736).

131905280 is an abundant number, since it is smaller than the sum of its proper divisors (208396192).

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

131905280 is an equidigital number, since it uses as much as digits as its factorization.

131905280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7961 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 131905280 is about 11485.0023944273. The cubic root of 131905280 is about 509.0425198287.

The spelling of 131905280 in words is "one hundred thirty-one million, nine hundred five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 7927 8320 15854 16640 31708 39635 63416 79270 103051 126832 158540 206102 253664 317080 412204 507328 515255 634160 824408 1014656 1030510 1268320 1648816 2029312 2061020 2536640 3297632 4122040 5073280 6595264 8244080 10146560 13190528 16488160 26381056 32976320 65952640 131905280