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10023816 = 2331143883
BaseRepresentation
bin100110001111…
…001110001000
3200212021002110
4212033032020
510031230231
6554502320
7151125645
oct46171610
920767073
1010023816
115727050
1234349a0
1320cc66a
14148cdcc
15d30046
hex98f388

10023816 has 64 divisors (see below), whose sum is σ = 28005120. Its totient is φ = 2963520.

The previous prime is 10023787. The next prime is 10023817. The reversal of 10023816 is 61832001.

It is a junction number, because it is equal to n+sod(n) for n = 10023792 and 10023801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023817) 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, 10911 + ... + 11793.

It is an arithmetic number, because the mean of its divisors is an integer number (437580).

Almost surely, 210023816 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 10023816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14002560).

10023816 is an abundant number, since it is smaller than the sum of its proper divisors (17981304).

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

10023816 is a wasteful number, since it uses less digits than its factorization.

10023816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10023816 is about 3166.0410610098. The cubic root of 10023816 is about 215.6143667934.

Adding to 10023816 its reverse (61832001), we get a palindrome (71855817).

The spelling of 10023816 in words is "ten million, twenty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 883 946 1032 1419 1766 1892 2649 2838 3532 3784 5298 5676 7064 9713 10596 11352 19426 21192 29139 37969 38852 58278 75938 77704 113907 116556 151876 227814 233112 303752 417659 455628 835318 911256 1252977 1670636 2505954 3341272 5011908 10023816