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136393216 = 29271983
BaseRepresentation
bin10000010000100…
…11001000000000
3100111122111022121
420020103020000
5234404040331
621311214024
73244215601
oct1010231000
9314574277
10136393216
116aa99273
1239817314
132234675b
1414185da8
15be92c11
hex8213200

136393216 has 40 divisors (see below), whose sum is σ = 273803904. Its totient is φ = 67875840.

The previous prime is 136393181. The next prime is 136393217. The reversal of 136393216 is 612393631.

It is not an unprimeable number, because it can be changed into a prime (136393217) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138261 + ... + 139243.

Almost surely, 2136393216 is an apocalyptic number.

136393216 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 136393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136901952).

136393216 is an abundant number, since it is smaller than the sum of its proper divisors (137410688).

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

136393216 is an frugal number, since it uses more digits than its factorization.

136393216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1256 counting only the distinct ones).

The product of its digits is 17496, while the sum is 34.

The square root of 136393216 is about 11678.7506181098. The cubic root of 136393216 is about 514.7514633235.

The spelling of 136393216 in words is "one hundred thirty-six million, three hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 271 512 542 983 1084 1966 2168 3932 4336 7864 8672 15728 17344 31456 34688 62912 69376 125824 138752 251648 266393 503296 532786 1065572 2131144 4262288 8524576 17049152 34098304 68196608 136393216