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130242420 = 223257119397
BaseRepresentation
bin1111100001101…
…01011101110100
3100002002000000100
413300311131310
5231320224140
620531314100
73141020340
oct760653564
9302060010
10130242420
1167578070
123774b930
1320ca1c29
1413424620
15b67a530
hex7c35774

130242420 has 144 divisors (see below), whose sum is σ = 492605568. Its totient is φ = 27060480.

The previous prime is 130242407. The next prime is 130242449. The reversal of 130242420 is 24242031.

130242420 is a `hidden beast` number, since 1 + 3 + 0 + 242 + 420 = 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 = 130242393 and 130242402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9162 + ... + 18558.

It is an arithmetic number, because the mean of its divisors is an integer number (3420872).

Almost surely, 2130242420 is an apocalyptic number.

130242420 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 130242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246302784).

130242420 is an abundant number, since it is smaller than the sum of its proper divisors (362363148).

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

130242420 is a wasteful number, since it uses less digits than its factorization.

130242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9430 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 130242420 is about 11412.3801198523. The cubic root of 130242420 is about 506.8943911305.

Adding to 130242420 its reverse (24242031), we get a palindrome (154484451).

The spelling of 130242420 in words is "one hundred thirty million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 9397 13860 18794 28191 37588 46985 56382 65779 84573 93970 103367 112764 131558 140955 169146 187940 197337 206734 263116 281910 310101 328895 338292 394674 413468 422865 516835 563820 592011 620202 657790 723569 789348 845730 930303 986685 1033670 1184022 1240404 1315580 1447138 1550505 1691460 1860606 1973370 2067340 2170707 2368044 2894276 2960055 3101010 3617845 3721212 3946740 4341414 4651515 5920110 6202020 6512121 7235690 8682828 9303030 10853535 11840220 13024242 14471380 18606060 21707070 26048484 32560605 43414140 65121210 130242420