Search a number
-
+
136556420 = 2257111319359
BaseRepresentation
bin10000010001110…
…10111110000100
3100111221210012012
420020322332010
5234424301140
621314513352
73245465450
oct1010727604
9314853165
10136556420
117009a950
1239895858
13223a2b20
14141c9660
15bec6265
hex823af84

136556420 has 192 divisors, whose sum is σ = 406425600. Its totient is φ = 37117440.

The previous prime is 136556417. The next prime is 136556423. The reversal of 136556420 is 24655631.

136556420 = T1560 + T1561 + ... + T1664.

It is an interprime number because it is at equal distance from previous prime (136556417) and next prime (136556423).

It is not an unprimeable number, because it can be changed into a prime (136556423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380201 + ... + 380559.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2136556420 is an apocalyptic number.

136556420 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 136556420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

136556420 is an abundant number, since it is smaller than the sum of its proper divisors (269869180).

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

136556420 is a wasteful number, since it uses less digits than its factorization.

136556420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 136556420 is about 11685.7357491944. The cubic root of 136556420 is about 514.9566935024.

The spelling of 136556420 in words is "one hundred thirty-six million, five hundred fifty-six thousand, four hundred twenty".