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135294264 = 23327331811
BaseRepresentation
bin10000001000001…
…10110100111000
3100102120122211200
420010012310320
5234113404024
621231454200
73231660630
oct1004066470
9312518750
10135294264
116a408646
1239387360
13220504a1
1413d7b6c0
15bd272c9
hex8106d38

135294264 has 96 divisors (see below), whose sum is σ = 420551040. Its totient is φ = 38491200.

The previous prime is 135294253. The next prime is 135294287. The reversal of 135294264 is 462492531.

It is a happy number.

135294264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166419 + ... + 167229.

It is an arithmetic number, because the mean of its divisors is an integer number (4380740).

Almost surely, 2135294264 is an apocalyptic number.

135294264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135294264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210275520).

135294264 is an abundant number, since it is smaller than the sum of its proper divisors (285256776).

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

135294264 is a wasteful number, since it uses less digits than its factorization.

135294264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1154 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 135294264 is about 11631.6062519327. The cubic root of 135294264 is about 513.3652426708.

The spelling of 135294264 in words is "one hundred thirty-five million, two hundred ninety-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 331 504 662 811 993 1324 1622 1986 2317 2433 2648 2979 3244 3972 4634 4866 5677 5958 6488 6951 7299 7944 9268 9732 11354 11916 13902 14598 17031 18536 19464 20853 22708 23832 27804 29196 34062 41706 45416 51093 55608 58392 68124 83412 102186 136248 166824 204372 268441 408744 536882 805323 1073764 1610646 1879087 2147528 2415969 3221292 3758174 4831938 5637261 6442584 7516348 9663876 11274522 15032696 16911783 19327752 22549044 33823566 45098088 67647132 135294264