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13630036 = 2272197353
BaseRepresentation
bin110011111111…
…101001010100
3221122110220011
4303333221110
511442130121
61204050004
7223565500
oct63775124
927573804
1013630036
11776a4a2
124693904
132a92c14
141b4b300
1512e37e1
hexcffa54

13630036 has 36 divisors (see below), whose sum is σ = 27966708. Its totient is φ = 5795328.

The previous prime is 13630033. The next prime is 13630037. The reversal of 13630036 is 63003631.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10368400 + 3261636 = 3220^2 + 1806^2 .

It is a super-2 number, since 2×136300362 = 371555762722592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13629989 and 13630016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13630031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38436 + ... + 38788.

It is an arithmetic number, because the mean of its divisors is an integer number (776853).

Almost surely, 213630036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13630036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13983354).

13630036 is an abundant number, since it is smaller than the sum of its proper divisors (14336672).

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

13630036 is a wasteful number, since it uses less digits than its factorization.

13630036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 13630036 is about 3691.8878639525. The cubic root of 13630036 is about 238.8722320297.

Adding to 13630036 its reverse (63003631), we get a palindrome (76633667).

The spelling of 13630036 in words is "thirteen million, six hundred thirty thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 197 353 394 706 788 1379 1412 2471 2758 4942 5516 9653 9884 17297 19306 34594 38612 69188 69541 139082 278164 486787 973574 1947148 3407509 6815018 13630036