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135323430 = 235113711083
BaseRepresentation
bin10000001000011…
…01111100100110
3100102122010211220
420010031330212
5234120322210
621232241210
73232141644
oct1004157446
9312563756
10135323430
116a428550
12393a0206
1322060848
1413d88194
15bd30c70
hex810df26

135323430 has 64 divisors (see below), whose sum is σ = 363909888. Its totient is φ = 31916160.

The previous prime is 135323429. The next prime is 135323443. The reversal of 135323430 is 34323531.

It is a happy number.

135323430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 135323430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6669 + ... + 17751.

It is an arithmetic number, because the mean of its divisors is an integer number (5686092).

Almost surely, 2135323430 is an apocalyptic number.

135323430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135323430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181954944).

135323430 is an abundant number, since it is smaller than the sum of its proper divisors (228586458).

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

135323430 is a wasteful number, since it uses less digits than its factorization.

135323430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11141.

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 135323430 is about 11632.8599235098. The cubic root of 135323430 is about 513.4021295139.

Adding to 135323430 its reverse (34323531), we get a palindrome (169646961).

The spelling of 135323430 in words is "one hundred thirty-five million, three hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 11083 12210 22166 33249 55415 66498 110830 121913 166245 243826 332490 365739 410071 609565 731478 820142 1219130 1230213 1828695 2050355 2460426 3657390 4100710 4510781 6151065 9021562 12302130 13532343 22553905 27064686 45107810 67661715 135323430