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136385430 = 23531532767
BaseRepresentation
bin10000010000100…
…01001110010110
3100111122002122020
420020101032112
5234403313210
621311114010
73244154106
oct1010211626
9314562566
10136385430
116aa93435
1239812906
132234304c
1414183206
15be90770
hex8211396

136385430 has 64 divisors (see below), whose sum is σ = 344383488. Its totient is φ = 34519680.

The previous prime is 136385419. The next prime is 136385449. The reversal of 136385430 is 34583631.

136385430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 136385391 and 136385400.

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, 47907 + ... + 50673.

It is an arithmetic number, because the mean of its divisors is an integer number (5380992).

Almost surely, 2136385430 is an apocalyptic number.

136385430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136385430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172191744).

136385430 is an abundant number, since it is smaller than the sum of its proper divisors (207998058).

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

136385430 is a wasteful number, since it uses less digits than its factorization.

136385430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 136385430 is about 11678.4172729013. The cubic root of 136385430 is about 514.7416682832.

The spelling of 136385430 in words is "one hundred thirty-six million, three hundred eighty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 53 62 93 106 155 159 186 265 310 318 465 530 795 930 1590 1643 2767 3286 4929 5534 8215 8301 9858 13835 16430 16602 24645 27670 41505 49290 83010 85777 146651 171554 257331 293302 428885 439953 514662 733255 857770 879906 1286655 1466510 2199765 2573310 4399530 4546181 9092362 13638543 22730905 27277086 45461810 68192715 136385430