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115131420 = 223253759293
BaseRepresentation
bin1101101110011…
…00010000011100
322000122021121200
412313030100130
5213433201140
615231355500
72565413055
oct667142034
9260567550
10115131420
1159a96a38
1232682b90
131ab10c01
141140d72c
15a193030
hex6dcc41c

115131420 has 144 divisors (see below), whose sum is σ = 365994720. Its totient is φ = 29265408.

The previous prime is 115131409. The next prime is 115131433. The reversal of 115131420 is 24131511.

115131420 is a `hidden beast` number, since 11 + 513 + 142 + 0 = 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 = 115131393 and 115131402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392794 + ... + 393086.

It is an arithmetic number, because the mean of its divisors is an integer number (2541630).

Almost surely, 2115131420 is an apocalyptic number.

115131420 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 115131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182997360).

115131420 is an abundant number, since it is smaller than the sum of its proper divisors (250863300).

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

115131420 is a wasteful number, since it uses less digits than its factorization.

115131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 115131420 is about 10729.9310342611. The cubic root of 115131420 is about 486.4795855227.

Adding to 115131420 its reverse (24131511), we get a palindrome (139262931).

Subtracting from 115131420 its reverse (24131511), we obtain a palindrome (90999909).

The spelling of 115131420 in words is "one hundred fifteen million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 59 60 74 90 111 118 148 177 180 185 222 236 293 295 333 354 370 444 531 555 586 590 666 708 740 879 885 1062 1110 1172 1180 1332 1465 1665 1758 1770 2124 2183 2220 2637 2655 2930 3330 3516 3540 4366 4395 5274 5310 5860 6549 6660 8732 8790 10548 10620 10841 10915 13098 13185 17287 17580 19647 21682 21830 26196 26370 32523 32745 34574 39294 43364 43660 51861 52740 54205 65046 65490 69148 78588 86435 97569 98235 103722 108410 130092 130980 155583 162615 172870 195138 196470 207444 216820 259305 311166 325230 345740 390276 392940 487845 518610 622332 639619 650460 777915 975690 1037220 1279238 1555830 1918857 1951380 2558476 3111660 3198095 3837714 5756571 6396190 7675428 9594285 11513142 12792380 19188570 23026284 28782855 38377140 57565710 115131420