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13014900 = 22325214461
BaseRepresentation
bin110001101001…
…011101110100
3220111020002100
4301221131310
511312434100
61142542100
7215424213
oct61513564
926436070
1013014900
11738a318
124437930
132908c32
141a2b07a
151221400
hexc69774

13014900 has 54 divisors (see below), whose sum is σ = 40797302. Its totient is φ = 3470400.

The previous prime is 13014893. The next prime is 13014901. The reversal of 13014900 is 941031.

It can be written as a sum of positive squares in 3 ways, for example, as 11664 + 13003236 = 108^2 + 3606^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13014901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6331 + ... + 8130.

Almost surely, 213014900 is an apocalyptic number.

13014900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13014900 is an abundant number, since it is smaller than the sum of its proper divisors (27782402).

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

13014900 is a wasteful number, since it uses less digits than its factorization.

13014900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14481 (or 14471 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 13014900 is about 3607.6169419715. The cubic root of 13014900 is about 235.2232675163.

Adding to 13014900 its reverse (941031), we get a palindrome (13955931).

The spelling of 13014900 in words is "thirteen million, fourteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 14461 28922 43383 57844 72305 86766 130149 144610 173532 216915 260298 289220 361525 433830 520596 650745 723050 867660 1084575 1301490 1446100 2169150 2602980 3253725 4338300 6507450 13014900