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130809546 = 23372911933
BaseRepresentation
bin1111100101111…
…11111011001010
3100010010210222000
413302333323022
5231441401141
620551411430
73145601640
oct762777312
9303123860
10130809546
116792516a
1237983b76
13211400ca
1413531190
15b73d5b6
hex7cbfeca

130809546 has 64 divisors (see below), whose sum is σ = 343699200. Its totient is φ = 36082368.

The previous prime is 130809529. The next prime is 130809551. The reversal of 130809546 is 645908031.

130809546 is a `hidden beast` number, since 1 + 30 + 80 + 9 + 546 = 666.

It is a super-2 number, since 2×1308095462 = 34222274649452232, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130809546.

It is an unprimeable number.

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, 4996 + ... + 16928.

It is an arithmetic number, because the mean of its divisors is an integer number (5370300).

Almost surely, 2130809546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130809546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

130809546 is an abundant number, since it is smaller than the sum of its proper divisors (212889654).

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

130809546 is a wasteful number, since it uses less digits than its factorization.

130809546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11980 (or 11974 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 130809546 is about 11437.2000944287. The cubic root of 130809546 is about 507.6290640546.

The spelling of 130809546 in words is "one hundred thirty million, eight hundred nine thousand, five hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 203 261 378 406 522 609 783 1218 1566 1827 3654 5481 10962 11933 23866 35799 71598 83531 107397 167062 214794 250593 322191 346057 501186 644382 692114 751779 1038171 1503558 2076342 2255337 2422399 3114513 4510674 4844798 6229026 7267197 9343539 14534394 18687078 21801591 43603182 65404773 130809546