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130531284 = 223313239389
BaseRepresentation
bin1111100011110…
…11111111010100
3100002121200021000
413301323333110
5231404000114
620541423300
73143332452
oct761737724
9302550230
10130531284
11677550a4
123786ab30
1321073560
141349b9d2
15b6d5e09
hex7c7bfd4

130531284 has 96 divisors (see below), whose sum is σ = 366912000. Its totient is φ = 39892608.

The previous prime is 130531283. The next prime is 130531307. The reversal of 130531284 is 482135031.

It is a happy number.

It is a super-2 number, since 2×1305312842 = 34076832205377312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130531283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335362 + ... + 335750.

It is an arithmetic number, because the mean of its divisors is an integer number (3822000).

Almost surely, 2130531284 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 130531284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456000).

130531284 is an abundant number, since it is smaller than the sum of its proper divisors (236380716).

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

130531284 is a wasteful number, since it uses less digits than its factorization.

130531284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 130531284 is about 11425.0288402262. The cubic root of 130531284 is about 507.2688605850.

The spelling of 130531284 in words is "one hundred thirty million, five hundred thirty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 239 351 389 468 478 702 717 778 956 1167 1404 1434 1556 2151 2334 2868 3107 3501 4302 4668 5057 6214 6453 7002 8604 9321 10114 10503 12428 12906 14004 15171 18642 20228 21006 25812 27963 30342 37284 42012 45513 55926 60684 83889 91026 92971 111852 136539 167778 182052 185942 273078 278913 335556 371884 546156 557826 836739 1115652 1208623 1673478 2417246 2510217 3346956 3625869 4834492 5020434 7251738 10040868 10877607 14503476 21755214 32632821 43510428 65265642 130531284