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130206336 = 2731326083
BaseRepresentation
bin1111100001011…
…00101010000000
3100002000011111220
413300230222000
5231313100321
620530435040
73140510211
oct760545200
9302004456
10130206336
1167552a47
1237732a80
1320c8b690
1413415408
15b66e9c6
hex7c2ca80

130206336 has 64 divisors (see below), whose sum is σ = 372479520. Its totient is φ = 40061952.

The previous prime is 130206313. The next prime is 130206337. The reversal of 130206336 is 633602031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (130206337) 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 7 ways as a sum of consecutive naturals, for example, 8050 + ... + 18033.

Almost surely, 2130206336 is an apocalyptic number.

130206336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130206336 is an abundant number, since it is smaller than the sum of its proper divisors (242273184).

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

130206336 is a wasteful number, since it uses less digits than its factorization.

130206336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26113 (or 26101 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 130206336 is about 11410.7990955936. The cubic root of 130206336 is about 506.8475746718.

Adding to 130206336 its reverse (633602031), we get a palindrome (763808367).

The spelling of 130206336 in words is "one hundred thirty million, two hundred six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 26083 52166 78249 104332 156498 208664 312996 339079 417328 625992 678158 834656 1017237 1251984 1356316 1669312 2034474 2503968 2712632 3338624 4068948 5007936 5425264 8137896 10015872 10850528 16275792 21701056 32551584 43402112 65103168 130206336