Search a number
-
+
135006426 = 2362931103
BaseRepresentation
bin10000000110000…
…00100011011010
3100102001001000000
420003000203122
5234030201201
621221353430
73226351512
oct1003004332
9312031000
10135006426
116a231365
1239268876
1321c7c479
1413d04842
15bcbbd86
hex80c08da

135006426 has 112 divisors (see below), whose sum is σ = 327375360. Its totient is φ = 41640480.

The previous prime is 135006383. The next prime is 135006427. The reversal of 135006426 is 624600531.

135006426 is a `hidden beast` number, since 13 + 5 + 0 + 0 + 642 + 6 = 666.

It is a super-2 number, since 2×1350064262 = 36453470122586952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 135006426.

It is not an unprimeable number, because it can be changed into a prime (135006427) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1310691 + ... + 1310793.

Almost surely, 2135006426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135006426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163687680).

135006426 is an abundant number, since it is smaller than the sum of its proper divisors (192368934).

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

135006426 is a wasteful number, since it uses less digits than its factorization.

135006426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135006426 is about 11619.2265663425. The cubic root of 135006426 is about 513.0009233594. Note that the first 3 decimals are identical.

Adding to 135006426 its reverse (624600531), we get a palindrome (759606957).

The spelling of 135006426 in words is "one hundred thirty-five million, six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 62 81 87 93 103 162 174 186 206 243 261 279 309 486 522 558 618 729 783 837 899 927 1458 1566 1674 1798 1854 2349 2511 2697 2781 2987 3193 4698 5022 5394 5562 5974 6386 7047 7533 8091 8343 8961 9579 14094 15066 16182 16686 17922 19158 21141 22599 24273 25029 26883 28737 42282 45198 48546 50058 53766 57474 72819 75087 80649 86211 92597 145638 150174 161298 172422 185194 218457 241947 258633 277791 436914 483894 517266 555582 655371 725841 775899 833373 1310742 1451682 1551798 1666746 2177523 2327697 2500119 4355046 4655394 5000238 7500357 15000714 22501071 45002142 67503213 135006426