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130560642 = 23237434797
BaseRepresentation
bin1111100100000…
…11001010000010
3100002200011112100
413302003022002
5231410420032
620542211230
73143514162
oct762031202
9302604470
10130560642
1167775163
1237883b16
1321083a24
14134a85a2
15b6de97c
hex7c83282

130560642 has 96 divisors (see below), whose sum is σ = 306738432. Its totient is φ = 40061952.

The previous prime is 130560613. The next prime is 130560649. The reversal of 130560642 is 246065031.

130560642 is a `hidden beast` number, since 13 + 0 + 5 + 6 + 0 + 642 = 666.

It is not an unprimeable number, because it can be changed into a prime (130560649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1345938 + ... + 1346034.

It is an arithmetic number, because the mean of its divisors is an integer number (3195192).

Almost surely, 2130560642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130560642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153369216).

130560642 is an abundant number, since it is smaller than the sum of its proper divisors (176177790).

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

130560642 is a wasteful number, since it uses less digits than its factorization.

130560642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 130560642 is about 11426.3135787532. The cubic root of 130560642 is about 507.3068879513.

The spelling of 130560642 in words is "one hundred thirty million, five hundred sixty thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 37 43 47 74 86 94 97 111 129 141 194 222 258 282 291 333 387 423 582 666 774 846 873 1591 1739 1746 2021 3182 3478 3589 4042 4171 4559 4773 5217 6063 7178 8342 9118 9546 10434 10767 12126 12513 13677 14319 15651 18189 21534 25026 27354 28638 31302 32301 36378 37539 41031 64602 74777 75078 82062 149554 154327 168683 196037 224331 308654 337366 392074 448662 462981 506049 588111 672993 925962 1012098 1176222 1345986 1388943 1518147 1764333 2777886 3036294 3528666 7253369 14506738 21760107 43520214 65280321 130560642