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10013922 = 233414523
BaseRepresentation
bin100110001100…
…110011100010
3200211202112000
4212030303202
510030421142
6554344430
7151055052
oct46146342
920752460
1010013922
11571a676
12342b116
1320c7cc9
141489562
15d2c14c
hex98cce2

10013922 has 32 divisors (see below), whose sum is σ = 22800960. Its totient is φ = 3255840.

The previous prime is 10013917. The next prime is 10013933. The reversal of 10013922 is 22931001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10013895 and 10013904.

It is an unprimeable number.

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, 48 + ... + 4475.

It is an arithmetic number, because the mean of its divisors is an integer number (712530).

Almost surely, 210013922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11400480).

10013922 is an abundant number, since it is smaller than the sum of its proper divisors (12787038).

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

10013922 is a wasteful number, since it uses less digits than its factorization.

10013922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4569 counting only the distinct ones).

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

The square root of 10013922 is about 3164.4781560314. The cubic root of 10013922 is about 215.5434027741.

Adding to 10013922 its reverse (22931001), we get a palindrome (32944923).

The spelling of 10013922 in words is "ten million, thirteen thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 4523 9046 13569 27138 40707 81414 122121 185443 244242 370886 556329 1112658 1668987 3337974 5006961 10013922