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135106304 = 28677877
BaseRepresentation
bin10000000110110…
…00111100000000
3100102020010000012
420003120330000
5234041400204
621223444052
73230245634
oct1003307400
9312203005
10135106304
116a29a403
12392b6628
1321cb5a78
1413d2cdc4
15bcdb76e
hex80d8f00

135106304 has 36 divisors (see below), whose sum is σ = 273744744. Its totient is φ = 66536448.

The previous prime is 135106297. The next prime is 135106319. The reversal of 135106304 is 403601531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 135106304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13214 + ... + 21090.

Almost surely, 2135106304 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 135106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136872372).

135106304 is an abundant number, since it is smaller than the sum of its proper divisors (138638440).

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

135106304 is an frugal number, since it uses more digits than its factorization.

135106304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7960 (or 7946 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 135106304 is about 11623.5237342210. The cubic root of 135106304 is about 513.1273985150.

Adding to 135106304 its reverse (403601531), we get a palindrome (538707835).

The spelling of 135106304 in words is "one hundred thirty-five million, one hundred six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 1072 2144 4288 7877 8576 15754 17152 31508 63016 126032 252064 504128 527759 1008256 1055518 2016512 2111036 4222072 8444144 16888288 33776576 67553152 135106304