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135999820 = 22511976373
BaseRepresentation
bin10000001101100…
…11000101001100
3100110220111200101
420012303011030
5234303443240
621254540444
73240656635
oct1006630514
9313814611
10135999820
116a84a750
1239667724
1322239688
14140c288c
15be1639a
hex81b314c

135999820 has 48 divisors (see below), whose sum is σ = 314824608. Its totient is φ = 48936960.

The previous prime is 135999791. The next prime is 135999823. The reversal of 135999820 is 28999531.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (135999823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18154 + ... + 24526.

It is an arithmetic number, because the mean of its divisors is an integer number (6558846).

Almost surely, 2135999820 is an apocalyptic number.

135999820 is a gapful number since it is divisible by the number (10) 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 135999820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157412304).

135999820 is an abundant number, since it is smaller than the sum of its proper divisors (178824788).

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

135999820 is a wasteful number, since it uses less digits than its factorization.

135999820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6490 (or 6488 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The square root of 135999820 is about 11661.8960722517. The cubic root of 135999820 is about 514.2560912538.

The spelling of 135999820 in words is "one hundred thirty-five million, nine hundred ninety-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 4268 5335 6373 10670 12746 21340 25492 31865 63730 70103 127460 140206 280412 350515 618181 701030 1236362 1402060 2472724 3090905 6181810 6799991 12363620 13599982 27199964 33999955 67999910 135999820