Search a number
-
+
1307513196 = 22321119173779
BaseRepresentation
bin100110111101111…
…0001000101101100
310101010022112220200
41031323301011230
510134210410241
6333424313500
744254451553
oct11573610554
93333275820
101307513196
1161106a020
12305a72890
1317ab68962
14c5918d9a
1579bc64b6
hex4def116c

1307513196 has 72 divisors (see below), whose sum is σ = 3795355200. Its totient is φ = 375360480.

The previous prime is 1307513191. The next prime is 1307513201. The reversal of 1307513196 is 6913157031.

1307513196 is a `hidden beast` number, since 130 + 7 + 513 + 1 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1307513191) and next prime (1307513201).

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 1307513196.

It is not an unprimeable number, because it can be changed into a prime (1307513191) 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 23 ways as a sum of consecutive naturals, for example, 79366 + ... + 94413.

Almost surely, 21307513196 is an apocalyptic number.

It is an amenable number.

1307513196 is an abundant number, since it is smaller than the sum of its proper divisors (2487842004).

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

1307513196 is a wasteful number, since it uses less digits than its factorization.

1307513196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173819 (or 173814 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 1307513196 is about 36159.5519330647. The cubic root of 1307513196 is about 1093.4913708774.

The spelling of 1307513196 in words is "one billion, three hundred seven million, five hundred thirteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 173779 347558 521337 695116 1042674 1564011 1911569 2085348 3128022 3301801 3823138 5734707 6256044 6603602 7646276 9905403 11469414 13207204 17204121 19810806 22938828 29716209 34408242 36319811 39621612 59432418 68816484 72639622 108959433 118864836 145279244 217918866 326878299 435837732 653756598 1307513196