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10053316 = 2271371389
BaseRepresentation
bin100110010110…
…011011000100
3200220202120001
4212112123010
510033201231
6555251044
7151310650
oct46263304
920822501
1010053316
115747229
123449a84
13210cc10
141499a60
15d38b61
hex9966c4

10053316 has 48 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 3911040.

The previous prime is 10053301. The next prime is 10053317. The reversal of 10053316 is 61335001.

It is a junction number, because it is equal to n+sod(n) for n = 10053293 and 10053302.

It is not an unprimeable number, because it can be changed into a prime (10053317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25650 + ... + 26038.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 210053316 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 10053316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

10053316 is an abundant number, since it is smaller than the sum of its proper divisors (11961404).

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

10053316 is a wasteful number, since it uses less digits than its factorization.

10053316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 10053316 is about 3170.6964534626. The cubic root of 10053316 is about 215.8256766795.

Adding to 10053316 its reverse (61335001), we get a palindrome (71388317).

The spelling of 10053316 in words is "ten million, fifty-three thousand, three hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 52 71 91 142 182 284 364 389 497 778 923 994 1556 1846 1988 2723 3692 5057 5446 6461 10114 10892 12922 20228 25844 27619 35399 55238 70798 110476 141596 193333 359047 386666 718094 773332 1436188 2513329 5026658 10053316