Search a number
-
+
130435536 = 24371135291
BaseRepresentation
bin1111100011001…
…00100111010000
3100002102210220210
413301210213100
5231342414121
620535404120
73142453350
oct761444720
9302383823
10130435536
116769a170
1237823640
132103baba
1413474b60
15b6b7876
hex7c649d0

130435536 has 80 divisors (see below), whose sum is σ = 420115968. Its totient is φ = 33878400.

The previous prime is 130435531. The next prime is 130435537. The reversal of 130435536 is 635534031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130435531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13950 + ... + 21341.

Almost surely, 2130435536 is an apocalyptic number.

130435536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130435536 is an abundant number, since it is smaller than the sum of its proper divisors (289680432).

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

130435536 is a wasteful number, since it uses less digits than its factorization.

130435536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35320 (or 35314 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 130435536 is about 11420.8377976399. The cubic root of 130435536 is about 507.1447987305.

Adding to 130435536 its reverse (635534031), we get a palindrome (765969567).

The spelling of 130435536 in words is "one hundred thirty million, four hundred thirty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 35291 70582 105873 141164 211746 247037 282328 388201 423492 494074 564656 741111 776402 846984 988148 1164603 1482222 1552804 1693968 1976296 2329206 2717407 2964444 3105608 3952592 4658412 5434814 5928888 6211216 8152221 9316824 10869628 11857776 16304442 18633648 21739256 32608884 43478512 65217768 130435536