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136220436 = 2232111911801
BaseRepresentation
bin10000001111010…
…00111100010100
3100111022201022100
420013220330110
5234333023221
621303402100
73242566062
oct1007507424
9314281270
10136220436
116a990480
1239753330
13222b5c11
141413d032
15be5b926
hex81e8f14

136220436 has 72 divisors (see below), whose sum is σ = 377814528. Its totient is φ = 41040000.

The previous prime is 136220393. The next prime is 136220437. The reversal of 136220436 is 634022631.

136220436 is a `hidden beast` number, since 1 + 3 + 6 + 220 + 436 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136220437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74736 + ... + 76536.

It is an arithmetic number, because the mean of its divisors is an integer number (5247424).

Almost surely, 2136220436 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 136220436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188907264).

136220436 is an abundant number, since it is smaller than the sum of its proper divisors (241594092).

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

136220436 is a wasteful number, since it uses less digits than its factorization.

136220436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 136220436 is about 11671.3510786027. The cubic root of 136220436 is about 514.5340127735.

The spelling of 136220436 in words is "one hundred thirty-six million, two hundred twenty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 191 198 382 396 573 764 1146 1719 1801 2101 2292 3438 3602 4202 5403 6303 6876 7204 8404 10806 12606 16209 18909 19811 21612 25212 32418 37818 39622 59433 64836 75636 79244 118866 178299 237732 343991 356598 687982 713196 1031973 1375964 2063946 3095919 3783901 4127892 6191838 7567802 11351703 12383676 15135604 22703406 34055109 45406812 68110218 136220436