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135949806 = 2335971601
BaseRepresentation
bin10000001101001…
…10110111101110
3100110210222002000
420012212313232
5234300343211
621253513130
73240361056
oct1006466756
9313728060
10135949806
116a816113
12396427a6
132221c995
14140ac566
15be06656
hex81a6dee

135949806 has 64 divisors (see below), whose sum is σ = 312076800. Its totient is φ = 43848000.

The previous prime is 135949763. The next prime is 135949819. The reversal of 135949806 is 608949531.

It is a happy number.

It is a Curzon number.

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, 225906 + ... + 226506.

It is an arithmetic number, because the mean of its divisors is an integer number (4876200).

Almost surely, 2135949806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135949806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156038400).

135949806 is an abundant number, since it is smaller than the sum of its proper divisors (176126994).

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

135949806 is a wasteful number, since it uses less digits than its factorization.

135949806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 135949806 is about 11659.7515410921. The cubic root of 135949806 is about 514.1930442153.

The spelling of 135949806 in words is "one hundred thirty-five million, nine hundred forty-nine thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 27 54 59 71 118 142 177 213 354 426 531 601 639 1062 1202 1278 1593 1803 1917 3186 3606 3834 4189 5409 8378 10818 12567 16227 25134 32454 35459 37701 42671 70918 75402 85342 106377 113103 128013 212754 226206 256026 319131 384039 638262 768078 957393 1152117 1914786 2304234 2517589 5035178 7552767 15105534 22658301 45316602 67974903 135949806