Search a number
-
+
131384320 = 210567383
BaseRepresentation
bin1111101010011…
…00010000000000
3100011020000101221
413311030100000
5232113244240
621012004424
73153514444
oct765142000
9304200357
10131384320
1168187a91
1238000714
13212b1902
1413640824
15b803a4a
hex7d4c400

131384320 has 88 divisors (see below), whose sum is σ = 320707584. Its totient is φ = 51634176.

The previous prime is 131384291. The next prime is 131384333. The reversal of 131384320 is 23483131.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342849 + ... + 343231.

Almost surely, 2131384320 is an apocalyptic number.

131384320 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 131384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160353792).

131384320 is an abundant number, since it is smaller than the sum of its proper divisors (189323264).

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

131384320 is an equidigital number, since it uses as much as digits as its factorization.

131384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 131384320 is about 11462.2999437286. The cubic root of 131384320 is about 508.3714810274.

The spelling of 131384320 in words is "one hundred thirty-one million, three hundred eighty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 268 320 335 383 512 536 640 670 766 1024 1072 1280 1340 1532 1915 2144 2560 2680 3064 3830 4288 5120 5360 6128 7660 8576 10720 12256 15320 17152 21440 24512 25661 30640 34304 42880 49024 51322 61280 68608 85760 98048 102644 122560 128305 171520 196096 205288 245120 256610 343040 392192 410576 490240 513220 821152 980480 1026440 1642304 1960960 2052880 3284608 4105760 6569216 8211520 13138432 16423040 26276864 32846080 65692160 131384320