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135434320 = 2457241847
BaseRepresentation
bin10000001001010…
…01000001010000
3100102211202221221
420010221001100
5234132344240
621234454424
73233113150
oct1004510120
9312752857
10135434320
116a4a389a
1239434414
132209c168
1413db6760
15bd53a4a
hex8129050

135434320 has 40 divisors (see below), whose sum is σ = 359869824. Its totient is φ = 46434432.

The previous prime is 135434311. The next prime is 135434371. The reversal of 135434320 is 23434531.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 120364 + ... + 121483.

Almost surely, 2135434320 is an apocalyptic number.

135434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135434320 is an abundant number, since it is smaller than the sum of its proper divisors (224435504).

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

135434320 is a wasteful number, since it uses less digits than its factorization.

135434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241867 (or 241861 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 135434320 is about 11637.6251872966. The cubic root of 135434320 is about 513.5423260258.

Adding to 135434320 its reverse (23434531), we get a palindrome (158868851).

The spelling of 135434320 in words is "one hundred thirty-five million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 241847 483694 967388 1209235 1692929 1934776 2418470 3385858 3869552 4836940 6771716 8464645 9673880 13543432 16929290 19347760 27086864 33858580 67717160 135434320