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131022240 = 2535893067
BaseRepresentation
bin1111100111100…
…11110110100000
3100010112121201120
413303303312200
5232020202430
621000132240
73150446016
oct763636640
9303477646
10131022240
1167a5aa48
1237a67080
13211b5b6b
14135888b6
15b781610
hex7cf3da0

131022240 has 96 divisors (see below), whose sum is σ = 417493440. Its totient is φ = 34535424.

The previous prime is 131022187. The next prime is 131022259. The reversal of 131022240 is 42220131.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41187 + ... + 44253.

It is an arithmetic number, because the mean of its divisors is an integer number (4348890).

Almost surely, 2131022240 is an apocalyptic number.

131022240 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 131022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208746720).

131022240 is an abundant number, since it is smaller than the sum of its proper divisors (286471200).

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

131022240 is a wasteful number, since it uses less digits than its factorization.

131022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 131022240 is about 11446.4946599385. The cubic root of 131022240 is about 507.9040470186.

Adding to 131022240 its reverse (42220131), we get a palindrome (173242371).

The spelling of 131022240 in words is "one hundred thirty-one million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 356 445 480 534 712 890 1068 1335 1424 1780 2136 2670 2848 3067 3560 4272 5340 6134 7120 8544 9201 10680 12268 14240 15335 18402 21360 24536 30670 36804 42720 46005 49072 61340 73608 92010 98144 122680 147216 184020 245360 272963 294432 368040 490720 545926 736080 818889 1091852 1364815 1472160 1637778 2183704 2729630 3275556 4094445 4367408 5459260 6551112 8188890 8734816 10918520 13102224 16377780 21837040 26204448 32755560 43674080 65511120 131022240