Search a number
-
+
131336730 = 232571712263
BaseRepresentation
bin1111101010000…
…00101000011010
3100011010121010100
413311000220122
5232110233410
621011000230
73153225630
oct765005032
9304117110
10131336730
1168155258
1237b99076
1321296055
141362b350
15b7e48c0
hex7d40a1a

131336730 has 96 divisors (see below), whose sum is σ = 413247744. Its totient is φ = 28251648.

The previous prime is 131336729. The next prime is 131336743. The reversal of 131336730 is 37633131.

It is a junction number, because it is equal to n+sod(n) for n = 131336694 and 131336703.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4579 + ... + 16841.

It is an arithmetic number, because the mean of its divisors is an integer number (4304664).

Almost surely, 2131336730 is an apocalyptic number.

131336730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131336730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206623872).

131336730 is an abundant number, since it is smaller than the sum of its proper divisors (281911014).

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

131336730 is a wasteful number, since it uses less digits than its factorization.

131336730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12300 (or 12297 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 131336730 is about 11460.2238198039. The cubic root of 131336730 is about 508.3100928788.

Adding to 131336730 its reverse (37633131), we get a palindrome (168969861).

The spelling of 131336730 in words is "one hundred thirty-one million, three hundred thirty-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 2142 3570 5355 10710 12263 24526 36789 61315 73578 85841 110367 122630 171682 183945 208471 220734 257523 367890 416942 429205 515046 551835 625413 772569 858410 1042355 1103670 1250826 1287615 1459297 1545138 1876239 2084710 2575230 2918594 3127065 3752478 3862845 4377891 6254130 7296485 7725690 8755782 9381195 13133673 14592970 18762390 21889455 26267346 43778910 65668365 131336730