Search a number
-
+
131155440 = 243513127331
BaseRepresentation
bin1111101000101…
…00010111110000
3100010210101102220
413310110113300
5232033433230
621003041040
73151542243
oct764242760
9303711386
10131155440
1168041029
1237b10180
1321231690
14135c125a
15b7aad10
hex7d145f0

131155440 has 160 divisors (see below), whose sum is σ = 442638336. Its totient is φ = 31933440.

The previous prime is 131155439. The next prime is 131155441. The reversal of 131155440 is 44551131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131155439) and next prime (131155441).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131155440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131155441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396075 + ... + 396405.

Almost surely, 2131155440 is an apocalyptic number.

131155440 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 131155440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221319168).

131155440 is an abundant number, since it is smaller than the sum of its proper divisors (311482896).

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

131155440 is a wasteful number, since it uses less digits than its factorization.

131155440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 131155440 is about 11452.3115570613. The cubic root of 131155440 is about 508.0761040838.

The spelling of 131155440 in words is "one hundred thirty-one million, one hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 127 130 156 195 208 240 254 260 312 331 381 390 508 520 624 635 662 762 780 993 1016 1040 1270 1324 1524 1560 1651 1655 1905 1986 2032 2540 2648 3048 3120 3302 3310 3810 3972 4303 4953 4965 5080 5296 6096 6604 6620 7620 7944 8255 8606 9906 9930 10160 12909 13208 13240 15240 15888 16510 17212 19812 19860 21515 24765 25818 26416 26480 30480 33020 34424 39624 39720 42037 43030 49530 51636 64545 66040 68848 79248 79440 84074 86060 99060 103272 126111 129090 132080 168148 172120 198120 206544 210185 252222 258180 336296 344240 396240 420370 504444 516360 546481 630555 672592 840740 1008888 1032720 1092962 1261110 1639443 1681480 2017776 2185924 2522220 2732405 3278886 3362960 4371848 5044440 5464810 6557772 8197215 8743696 10088880 10929620 13115544 16394430 21859240 26231088 32788860 43718480 65577720 131155440