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10053813 = 371171613
BaseRepresentation
bin100110010110…
…100010110101
3200220210020110
4212112202311
510033210223
6555253233
7151312260
oct46264265
920823213
1010053813
115747640
12344a219
132110203
141499cd7
15d38d93
hex9968b5

10053813 has 32 divisors (see below), whose sum is σ = 16975872. Its totient is φ = 5140800.

The previous prime is 10053811. The next prime is 10053847. The reversal of 10053813 is 31835001.

It is a happy number.

10053813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10053813 - 21 = 10053811 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10053813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10053811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16095 + ... + 16707.

It is an arithmetic number, because the mean of its divisors is an integer number (530496).

Almost surely, 210053813 is an apocalyptic number.

It is an amenable number.

10053813 is a deficient number, since it is larger than the sum of its proper divisors (6922059).

10053813 is a wasteful number, since it uses less digits than its factorization.

10053813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10053813 is about 3170.7748264423. The cubic root of 10053813 is about 215.8292331708.

Adding to 10053813 its reverse (31835001), we get a palindrome (41888814).

The spelling of 10053813 in words is "ten million, fifty-three thousand, eight hundred thirteen".

Divisors: 1 3 7 11 21 33 71 77 213 231 497 613 781 1491 1839 2343 4291 5467 6743 12873 16401 20229 43523 47201 130569 141603 304661 478753 913983 1436259 3351271 10053813