Search a number
-
+
131999840 = 2557196203
BaseRepresentation
bin1111101111000…
…10100001100000
3100012101021201222
413313202201200
5232242443330
621033114212
73161660120
oct767424140
9305337658
10131999840
1168568485
1238258968
1321468b1b
1413760c80
15b8c60e5
hex7de2860

131999840 has 96 divisors (see below), whose sum is σ = 375217920. Its totient is φ = 42868224.

The previous prime is 131999807. The next prime is 131999887. The reversal of 131999840 is 48999131.

131999840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131999791 and 131999800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18179 + ... + 24381.

It is an arithmetic number, because the mean of its divisors is an integer number (3908520).

Almost surely, 2131999840 is an apocalyptic number.

131999840 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 131999840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187608960).

131999840 is an abundant number, since it is smaller than the sum of its proper divisors (243218080).

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

131999840 is a wasteful number, since it uses less digits than its factorization.

131999840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6244 (or 6236 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 44.

The square root of 131999840 is about 11489.1183299677. The cubic root of 131999840 is about 509.1641312429.

The spelling of 131999840 in words is "one hundred thirty-one million, nine hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 2128 2660 3040 4256 5320 6203 10640 12406 21280 24812 31015 43421 49624 62030 86842 99248 117857 124060 173684 198496 217105 235714 248120 347368 434210 471428 496240 589285 694736 824999 868420 942856 992480 1178570 1389472 1649998 1736840 1885712 2357140 3299996 3473680 3771424 4124995 4714280 6599992 6947360 8249990 9428560 13199984 16499980 18857120 26399968 32999960 65999920 131999840