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136330000 = 245413633
BaseRepresentation
bin10000010000000…
…11101100010000
3100111112021121021
420020003230100
5234400030000
621310005224
73243533362
oct1010035420
9314467537
10136330000
116aa55824
12397a6814
1322323a51
141416ad32
15be7e11a
hex8203b10

136330000 has 50 divisors (see below), whose sum is σ = 330092774. Its totient is φ = 54528000.

The previous prime is 136329983. The next prime is 136330001. The reversal of 136330000 is 33631.

It can be written as a sum of positive squares in 5 ways, for example, as 39740416 + 96589584 = 6304^2 + 9828^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (136330001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3184 + ... + 16816.

Almost surely, 2136330000 is an apocalyptic number.

136330000 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 136330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165046387).

136330000 is an abundant number, since it is smaller than the sum of its proper divisors (193762774).

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

136330000 is an equidigital number, since it uses as much as digits as its factorization.

136330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13661 (or 13640 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 136330000 is about 11676.0438505514. The cubic root of 136330000 is about 514.6719247705.

Adding to 136330000 its reverse (33631), we get a palindrome (136363631).

The spelling of 136330000 in words is "one hundred thirty-six million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 13633 27266 54532 68165 109064 136330 218128 272660 340825 545320 681650 1090640 1363300 1704125 2726600 3408250 5453200 6816500 8520625 13633000 17041250 27266000 34082500 68165000 136330000