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136040430 = 23559151509
BaseRepresentation
bin10000001101111…
…00111111101110
3100110222120101110
420012330333232
5234311243210
621255452450
73241216221
oct1006747756
9313876343
10136040430
116a878209
1239687126
1322251cc6
14140d35b8
15be23420
hex81bcfee

136040430 has 64 divisors (see below), whose sum is σ = 334886400. Its totient is φ = 35356800.

The previous prime is 136040417. The next prime is 136040441. The reversal of 136040430 is 34040631.

It is a junction number, because it is equal to n+sod(n) for n = 136040397 and 136040406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267016 + ... + 267524.

It is an arithmetic number, because the mean of its divisors is an integer number (5232600).

Almost surely, 2136040430 is an apocalyptic number.

136040430 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 136040430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

136040430 is an abundant number, since it is smaller than the sum of its proper divisors (198845970).

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

136040430 is a wasteful number, since it uses less digits than its factorization.

136040430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 136040430 is about 11663.6370828314. The cubic root of 136040430 is about 514.3072723547.

The spelling of 136040430 in words is "one hundred thirty-six million, forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 151 177 295 302 354 453 509 590 755 885 906 1018 1510 1527 1770 2265 2545 3054 4530 5090 7635 8909 15270 17818 26727 30031 44545 53454 60062 76859 89090 90093 133635 150155 153718 180186 230577 267270 300310 384295 450465 461154 768590 900930 1152885 2305770 4534681 9069362 13604043 22673405 27208086 45346810 68020215 136040430