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131346460 = 225721011327
BaseRepresentation
bin1111101010000…
…11000000011100
3100011011002110201
413311003000130
5232111041320
621011113244
73153266200
oct765030034
9304132421
10131346460
11681615a3
1237ba2824
132129a5cb
1413630b00
15b7e770a
hex7d4301c

131346460 has 72 divisors (see below), whose sum is σ = 324281664. Its totient is φ = 44553600.

The previous prime is 131346443. The next prime is 131346461. The reversal of 131346460 is 64643131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131346461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98317 + ... + 99643.

It is an arithmetic number, because the mean of its divisors is an integer number (4503912).

Almost surely, 2131346460 is an apocalyptic number.

131346460 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 131346460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162140832).

131346460 is an abundant number, since it is smaller than the sum of its proper divisors (192935204).

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

131346460 is a wasteful number, since it uses less digits than its factorization.

131346460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 131346460 is about 11460.6483237206. The cubic root of 131346460 is about 508.3226451812.

Adding to 131346460 its reverse (64643131), we get a palindrome (195989591).

The spelling of 131346460 in words is "one hundred thirty-one million, three hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 101 140 196 202 245 404 490 505 707 980 1010 1327 1414 2020 2654 2828 3535 4949 5308 6635 7070 9289 9898 13270 14140 18578 19796 24745 26540 37156 46445 49490 65023 92890 98980 130046 134027 185780 260092 268054 325115 536108 650230 670135 938189 1300460 1340270 1876378 2680540 3752756 4690945 6567323 9381890 13134646 18763780 26269292 32836615 65673230 131346460