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130631256 = 23327261607
BaseRepresentation
bin1111100100101…
…00011001011000
3100002210202101200
413302110121120
5231420200011
620543514200
73144230100
oct762243130
9302722350
10130631256
1167813218
12378b8960
13210a9c02
14134c6200
15b705856
hex7c94658

130631256 has 144 divisors (see below), whose sum is σ = 418991040. Its totient is φ = 36650880.

The previous prime is 130631243. The next prime is 130631269. The reversal of 130631256 is 652136031.

130631256 is a `hidden beast` number, since 1 + 3 + 0 + 631 + 25 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (130631243) and next prime (130631269).

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 35 ways as a sum of consecutive naturals, for example, 214905 + ... + 215511.

It is an arithmetic number, because the mean of its divisors is an integer number (2909660).

Almost surely, 2130631256 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 130631256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209495520).

130631256 is an abundant number, since it is smaller than the sum of its proper divisors (288359784).

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

130631256 is a wasteful number, since it uses less digits than its factorization.

130631256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 130631256 is about 11429.4031340224. The cubic root of 130631256 is about 507.3983308029.

Adding to 130631256 its reverse (652136031), we get a palindrome (782767287).

The spelling of 130631256 in words is "one hundred thirty million, six hundred thirty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 61 63 72 84 98 122 126 147 168 183 196 244 252 294 366 392 427 441 488 504 549 588 607 732 854 882 1098 1176 1214 1281 1464 1708 1764 1821 2196 2428 2562 2989 3416 3528 3642 3843 4249 4392 4856 5124 5463 5978 7284 7686 8498 8967 10248 10926 11956 12747 14568 15372 16996 17934 21852 23912 25494 26901 29743 30744 33992 35868 37027 38241 43704 50988 53802 59486 71736 74054 76482 89229 101976 107604 111081 118972 148108 152964 178458 215208 222162 237944 259189 267687 296216 305928 333243 356916 444324 518378 535374 666486 713832 777567 888648 1036756 1070748 1332972 1555134 1814323 2073512 2141496 2332701 2665944 3110268 3628646 4665402 5442969 6220536 7257292 9330804 10885938 14514584 16328907 18661608 21771876 32657814 43543752 65315628 130631256