Search a number
-
+
131301240 = 23357672333
BaseRepresentation
bin1111101001101…
…11111101111000
3100011001210102220
413310313331320
5232103114430
621010124040
73153020310
oct764677570
9304053386
10131301240
1168130624
1237b80620
1321282b55
141361c440
15b7d9110
hex7d37f78

131301240 has 128 divisors (see below), whose sum is σ = 457090560. Its totient is φ = 29551104.

The previous prime is 131301199. The next prime is 131301259. The reversal of 131301240 is 42103131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55114 + ... + 57446.

It is an arithmetic number, because the mean of its divisors is an integer number (3571020).

Almost surely, 2131301240 is an apocalyptic number.

131301240 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 131301240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228545280).

131301240 is an abundant number, since it is smaller than the sum of its proper divisors (325789320).

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

131301240 is a wasteful number, since it uses less digits than its factorization.

131301240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131301240 is about 11458.6753161088. The cubic root of 131301240 is about 508.2643033261.

Adding to 131301240 its reverse (42103131), we get a palindrome (173404371).

The spelling of 131301240 in words is "one hundred thirty-one million, three hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 67 70 84 105 120 134 140 168 201 210 268 280 335 402 420 469 536 670 804 840 938 1005 1340 1407 1608 1876 2010 2333 2345 2680 2814 3752 4020 4666 4690 5628 6999 7035 8040 9332 9380 11256 11665 13998 14070 16331 18664 18760 23330 27996 28140 32662 34995 46660 48993 55992 56280 65324 69990 81655 93320 97986 130648 139980 156311 163310 195972 244965 279960 312622 326620 391944 468933 489930 625244 653240 781555 937866 979860 1094177 1250488 1563110 1875732 1959720 2188354 2344665 3126220 3282531 3751464 4376708 4689330 5470885 6252440 6565062 8753416 9378660 10941770 13130124 16412655 18757320 21883540 26260248 32825310 43767080 65650620 131301240