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131234460 = 223572711153
BaseRepresentation
bin1111101001001…
…11101010011100
3100010221101211120
413310213222130
5232044000320
621004450540
73152321520
oct764475234
9303841746
10131234460
1168095435
1237b49a50
132125b636
1413601d80
15b7c4440
hex7d27a9c

131234460 has 96 divisors (see below), whose sum is σ = 421865472. Its totient is φ = 29859840.

The previous prime is 131234459. The next prime is 131234461. The reversal of 131234460 is 64432131.

It is an interprime number because it is at equal distance from previous prime (131234459) and next prime (131234461).

It is a self number, because there is not a number n which added to its sum of digits gives 131234460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131234461) 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, 113244 + ... + 114396.

It is an arithmetic number, because the mean of its divisors is an integer number (4394432).

Almost surely, 2131234460 is an apocalyptic number.

131234460 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 131234460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210932736).

131234460 is an abundant number, since it is smaller than the sum of its proper divisors (290631012).

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

131234460 is a wasteful number, since it uses less digits than its factorization.

131234460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 131234460 is about 11455.7609961102. The cubic root of 131234460 is about 508.1781207277.

Adding to 131234460 its reverse (64432131), we get a palindrome (195666591).

The spelling of 131234460 in words is "one hundred thirty-one million, two hundred thirty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 271 420 542 813 1084 1153 1355 1626 1897 2306 2710 3252 3459 3794 4065 4612 5420 5691 5765 6918 7588 8071 8130 9485 11382 11530 13836 16142 16260 17295 18970 22764 23060 24213 28455 32284 34590 37940 40355 48426 56910 69180 80710 96852 113820 121065 161420 242130 312463 484260 624926 937389 1249852 1562315 1874778 2187241 3124630 3749556 4374482 4686945 6249260 6561723 8748964 9373890 10936205 13123446 18747780 21872410 26246892 32808615 43744820 65617230 131234460