Search a number
-
+
136784896 = 210312139
BaseRepresentation
bin10000010011100…
…10110000000000
3100112101101121021
420021302300000
5240004104041
621323435224
73250436533
oct1011626000
9315341537
10136784896
1170236576
1239985b14
1322452b11
1414248a1a
15c01dcd1
hex8272c00

136784896 has 66 divisors (see below), whose sum is σ = 284573940. Its totient is φ = 65710080.

The previous prime is 136784881. The next prime is 136784917. The reversal of 136784896 is 698487631.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 983995 + ... + 984133.

Almost surely, 2136784896 is an apocalyptic number.

136784896 is a gapful number since it is divisible by the number (16) 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 136784896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142286970).

136784896 is an abundant number, since it is smaller than the sum of its proper divisors (147789044).

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

136784896 is an equidigital number, since it uses as much as digits as its factorization.

136784896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 172 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The square root of 136784896 is about 11695.5075135712. The cubic root of 136784896 is about 515.2437291689.

The spelling of 136784896 in words is "one hundred thirty-six million, seven hundred eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 139 248 256 278 496 512 556 961 992 1024 1112 1922 1984 2224 3844 3968 4309 4448 7688 7936 8618 8896 15376 15872 17236 17792 30752 31744 34472 35584 61504 68944 71168 123008 133579 137888 142336 246016 267158 275776 492032 534316 551552 984064 1068632 1103104 2137264 2206208 4274528 4412416 8549056 17098112 34196224 68392448 136784896