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130427836 = 227112137281
BaseRepresentation
bin1111100011000…
…10101110111100
3100002102102100121
413301202232330
5231342142321
620535304324
73142422040
oct761425674
9302372317
10130427836
1167694400
123781b0a4
1321038446
1413472020
15b6b5441
hex7c62bbc

130427836 has 72 divisors (see below), whose sum is σ = 289846368. Its totient is φ = 50265600.

The previous prime is 130427833. The next prime is 130427851. The reversal of 130427836 is 638724031.

It is a happy number.

It is a super-2 number, since 2×1304278362 = 34022840807285792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130427831) 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, 464016 + ... + 464296.

It is an arithmetic number, because the mean of its divisors is an integer number (4025644).

Almost surely, 2130427836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130427836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144923184).

130427836 is an abundant number, since it is smaller than the sum of its proper divisors (159418532).

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

130427836 is a wasteful number, since it uses less digits than its factorization.

130427836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 130427836 is about 11420.5006895495. The cubic root of 130427836 is about 507.1348191091.

The spelling of 130427836 in words is "one hundred thirty million, four hundred twenty-seven thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 137 154 242 274 281 308 484 548 562 847 959 1124 1507 1694 1918 1967 3014 3091 3388 3836 3934 6028 6182 7868 10549 12364 16577 21098 21637 33154 34001 38497 42196 43274 66308 68002 76994 86548 116039 136004 153988 232078 238007 269479 423467 464156 476014 538958 846934 952028 1077916 1693868 2964269 4658137 5928538 9316274 11857076 18632548 32606959 65213918 130427836