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131410620 = 223351122123
BaseRepresentation
bin1111101010100…
…10101010111100
3100011021100111000
413311102222330
5232120114440
621012330300
73153654225
oct765225274
9304240430
10131410620
11681a5820
1238013990
13212c0883
141364a24c
15b80b730
hex7d52abc

131410620 has 96 divisors (see below), whose sum is σ = 446019840. Its totient is φ = 31855680.

The previous prime is 131410603. The next prime is 131410633. The reversal of 131410620 is 26014131.

It is a happy number.

131410620 is a `hidden beast` number, since 1 + 3 + 1 + 41 + 0 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131410593 and 131410602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5122 + ... + 17001.

It is an arithmetic number, because the mean of its divisors is an integer number (4646040).

Almost surely, 2131410620 is an apocalyptic number.

131410620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131410620 is an abundant number, since it is smaller than the sum of its proper divisors (314609220).

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

131410620 is a wasteful number, since it uses less digits than its factorization.

131410620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22152 (or 22144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131410620 is about 11463.4471255378. The cubic root of 131410620 is about 508.4054000367.

Adding to 131410620 its reverse (26014131), we get a palindrome (157424751).

The spelling of 131410620 in words is "one hundred thirty-one million, four hundred ten thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 22123 44246 66369 88492 110615 132738 199107 221230 243353 265476 331845 398214 442460 486706 597321 663690 730059 796428 973412 995535 1194642 1216765 1327380 1460118 1991070 2190177 2389284 2433530 2920236 2986605 3650295 3982140 4380354 4867060 5973210 6570531 7300590 8760708 10950885 11946420 13141062 14601180 21901770 26282124 32852655 43803540 65705310 131410620