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136334320 = 24513113009
BaseRepresentation
bin10000010000001…
…00101111110000
3100111112111112021
420020010233300
5234400144240
621310041224
73243552103
oct1010045760
9314474467
10136334320
116aa58aa1
12397a9214
13223259c5
141416c73a
15be8054a
hex8204bf0

136334320 has 40 divisors (see below), whose sum is σ = 319421520. Its totient is φ = 54113280.

The previous prime is 136334299. The next prime is 136334333. The reversal of 136334320 is 23433631.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3976 + ... + 16984.

It is an arithmetic number, because the mean of its divisors is an integer number (7985538).

Almost surely, 2136334320 is an apocalyptic number.

136334320 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 136334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159710760).

136334320 is an abundant number, since it is smaller than the sum of its proper divisors (183087200).

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

136334320 is a wasteful number, since it uses less digits than its factorization.

136334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13153 (or 13147 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 136334320 is about 11676.2288432524. The cubic root of 136334320 is about 514.6773609896.

Adding to 136334320 its reverse (23433631), we get a palindrome (159767951).

The spelling of 136334320 in words is "one hundred thirty-six million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 10480 13009 26018 52036 65045 104072 130090 208144 260180 520360 1040720 1704179 3408358 6816716 8520895 13633432 17041790 27266864 34083580 68167160 136334320