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136335440 = 2459717569
BaseRepresentation
bin10000010000001…
…01000001010000
3100111112120001202
420020011001100
5234400213230
621310050332
73243555263
oct1010050120
9314476052
10136335440
116aa5991a
12397a99a8
1322326377
141416ccda
15be80a45
hex8205050

136335440 has 40 divisors (see below), whose sum is σ = 320265960. Its totient is φ = 53968896.

The previous prime is 136335403. The next prime is 136335449. The reversal of 136335440 is 44533631.

It can be written as a sum of positive squares in 4 ways, for example, as 99856 + 136235584 = 316^2 + 11672^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136335449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1025 + ... + 16544.

It is an arithmetic number, because the mean of its divisors is an integer number (8006649).

Almost surely, 2136335440 is an apocalyptic number.

136335440 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 136335440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160132980).

136335440 is an abundant number, since it is smaller than the sum of its proper divisors (183930520).

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

136335440 is a wasteful number, since it uses less digits than its factorization.

136335440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17679 (or 17673 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 136335440 is about 11676.2768038446. The cubic root of 136335440 is about 514.6787703609.

The spelling of 136335440 in words is "one hundred thirty-six million, three hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 17569 35138 70276 87845 140552 175690 281104 351380 702760 1405520 1704193 3408386 6816772 8520965 13633544 17041930 27267088 34083860 68167720 136335440