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1230632676 = 223571313913
BaseRepresentation
bin100100101011001…
…1111011011100100
310011202122121200000
41021112133123210
510010020221201
6322040421300
742332130240
oct11126373344
93152577600
101230632676
115817295a9
122a4177830
13167c5b420
14b9625420
157308bd86
hex4959f6e4

1230632676 has 144 divisors (see below), whose sum is σ = 3970721664. Its totient is φ = 324539136.

The previous prime is 1230632659. The next prime is 1230632677. The reversal of 1230632676 is 6762360321.

1230632676 is a `hidden beast` number, since 12 + 3 + 0 + 632 + 6 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1230632676.

It is not an unprimeable number, because it can be changed into a prime (1230632677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81496 + ... + 95408.

It is an arithmetic number, because the mean of its divisors is an integer number (27574456).

Almost surely, 21230632676 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 1230632676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985360832).

1230632676 is an abundant number, since it is smaller than the sum of its proper divisors (2740088988).

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

1230632676 is a wasteful number, since it uses less digits than its factorization.

1230632676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13952 (or 13938 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 1230632676 is about 35080.3745133942. The cubic root of 1230632676 is about 1071.6249442121.

Adding to 1230632676 its reverse (6762360321), we get a palindrome (7992992997).

The spelling of 1230632676 in words is "one billion, two hundred thirty million, six hundred thirty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 972 1053 1092 1134 1404 1638 1701 2106 2268 2457 3159 3276 3402 4212 4914 6318 6804 7371 9828 12636 13913 14742 22113 27826 29484 41739 44226 55652 83478 88452 97391 125217 166956 180869 194782 250434 292173 361738 375651 389564 500868 542607 584346 723476 751302 876519 1085214 1126953 1168692 1266083 1502604 1627821 1753038 2170428 2253906 2532166 2629557 3255642 3380859 3506076 3798249 4507812 4883463 5064332 5259114 6511284 6761718 7596498 7888671 9766926 10518228 11394747 13523436 14650389 15192996 15777342 19533852 22789494 23666013 29300778 31554684 34184241 43951167 45578988 47332026 58601556 68368482 87902334 94664052 102552723 136736964 175804668 205105446 307658169 410210892 615316338 1230632676