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135337630 = 2531214083
BaseRepresentation
bin10000001000100…
…01011010011110
3100102122212022211
420010101122132
5234121301010
621232431034
73232231231
oct1004213236
9312585284
10135337630
116a43818a
12393a847a
132206714c
1413d8d418
15bd3508a
hex811169e

135337630 has 24 divisors (see below), whose sum is σ = 251737416. Its totient is φ = 52385040.

The previous prime is 135337619. The next prime is 135337637. The reversal of 135337630 is 36733531.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 135337592 and 135337601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135337637) 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 11 ways as a sum of consecutive naturals, for example, 2569 + ... + 16651.

It is an arithmetic number, because the mean of its divisors is an integer number (10489059).

Almost surely, 2135337630 is an apocalyptic number.

135337630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135337630 is a deficient number, since it is larger than the sum of its proper divisors (116399786).

135337630 is a wasteful number, since it uses less digits than its factorization.

135337630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14152 (or 14121 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 31.

The square root of 135337630 is about 11633.4702475229. The cubic root of 135337630 is about 513.4200866291.

It can be divided in two parts, 1353 and 37630, that added together give a palindrome (38983).

The spelling of 135337630 in words is "one hundred thirty-five million, three hundred thirty-seven thousand, six hundred thirty".

Divisors: 1 2 5 10 31 62 155 310 961 1922 4805 9610 14083 28166 70415 140830 436573 873146 2182865 4365730 13533763 27067526 67668815 135337630