Search a number
-
+
10036896 = 253104551
BaseRepresentation
bin100110010010…
…011010100000
3200212221000220
4212102122200
510032140041
6555043040
7151212042
oct46223240
920787026
1010036896
115735961
123440480
1321055bc
141493a92
15d33d66
hex9926a0

10036896 has 24 divisors (see below), whose sum is σ = 26347104. Its totient is φ = 3345600.

The previous prime is 10036889. The next prime is 10036907. The reversal of 10036896 is 69863001.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×100368963 (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52180 + ... + 52371.

It is an arithmetic number, because the mean of its divisors is an integer number (1097796).

Almost surely, 210036896 is an apocalyptic number.

10036896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10036896 is an abundant number, since it is smaller than the sum of its proper divisors (16310208).

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

10036896 is a wasteful number, since it uses less digits than its factorization.

10036896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104564 (or 104556 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 10036896 is about 3168.1060588307. The cubic root of 10036896 is about 215.7081105368.

Adding to 10036896 its reverse (69863001), we get a palindrome (79899897).

The spelling of 10036896 in words is "ten million, thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 104551 209102 313653 418204 627306 836408 1254612 1672816 2509224 3345632 5018448 10036896