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130542867 = 3371326167
BaseRepresentation
bin1111100011111…
…10110100010011
3100002122021011000
413301332310103
5231404332432
620541553043
73143411310
oct761766423
9302567130
10130542867
1167762874
1237875783
1321078900
14134a1d07
15b6d957c
hex7c7ed13

130542867 has 96 divisors (see below), whose sum is σ = 246888960. Its totient is φ = 66718080.

The previous prime is 130542857. The next prime is 130542877. The reversal of 130542867 is 768245031.

130542867 is a `hidden beast` number, since 1 + 30 + 542 + 86 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (130542857) and next prime (130542877).

It is not a de Polignac number, because 130542867 - 24 = 130542851 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130542817) 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 95 ways as a sum of consecutive naturals, for example, 1948368 + ... + 1948434.

It is an arithmetic number, because the mean of its divisors is an integer number (2571760).

Almost surely, 2130542867 is an apocalyptic number.

130542867 is a deficient number, since it is larger than the sum of its proper divisors (116346093).

130542867 is a wasteful number, since it uses less digits than its factorization.

130542867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 130542867 is about 11425.5357423624. The cubic root of 130542867 is about 507.2838647057.

Adding to 130542867 its reverse (768245031), we get a palindrome (898787898).

The spelling of 130542867 in words is "one hundred thirty million, five hundred forty-two thousand, eight hundred sixty-seven".

Divisors: 1 3 7 9 13 21 27 39 61 63 67 91 117 169 183 189 201 273 351 427 469 507 549 603 793 819 871 1183 1281 1407 1521 1647 1809 2379 2457 2613 3549 3843 4087 4221 4563 5551 6097 7137 7839 10309 10647 11323 11529 12261 12663 16653 18291 21411 23517 28609 30927 31941 33969 36783 49959 53131 54873 72163 79261 85827 92781 101907 110349 149877 159393 164619 216489 237783 257481 278343 305721 371917 478179 649467 690703 713349 772443 1115751 1434537 1948401 2072109 2140047 3347253 4834921 6216327 10041759 14504763 18648981 43514289 130542867