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135202304 = 29347761
BaseRepresentation
bin10000000111100…
…00011000000000
3100102101222200202
420003300120000
5234102433204
621225504332
73231125546
oct1003603000
9312358622
10135202304
116a355546
12393420a8
132201a683
1413d55d96
15bd09e1e
hex80f0600

135202304 has 40 divisors (see below), whose sum is σ = 271275048. Its totient is φ = 67317760.

The previous prime is 135202279. The next prime is 135202313. The reversal of 135202304 is 403202531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 177284 + ... + 178044.

Almost surely, 2135202304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135637524).

135202304 is an abundant number, since it is smaller than the sum of its proper divisors (136072744).

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

135202304 is an frugal number, since it uses more digits than its factorization.

135202304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 135202304 is about 11627.6525575887. The cubic root of 135202304 is about 513.2489042382.

Adding to 135202304 its reverse (403202531), we get a palindrome (538404835).

The spelling of 135202304 in words is "one hundred thirty-five million, two hundred two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 347 512 694 761 1388 1522 2776 3044 5552 6088 11104 12176 22208 24352 44416 48704 88832 97408 177664 194816 264067 389632 528134 1056268 2112536 4225072 8450144 16900288 33800576 67601152 135202304