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10124364 = 2232947619
BaseRepresentation
bin100110100111…
…110001001100
3201001101000110
4212213301030
510042434424
61001000020
7152025045
oct46476114
921041013
1010124364
115795648
123483010
132136363
1414b78cc
15d4ec29
hex9a7c4c

10124364 has 48 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 3183936.

The previous prime is 10124363. The next prime is 10124369. The reversal of 10124364 is 46342101.

10124364 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10124364.

It is not an unprimeable number, because it can be changed into a prime (10124363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16047 + ... + 16665.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 210124364 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 10124364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

10124364 is an abundant number, since it is smaller than the sum of its proper divisors (14874036).

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

10124364 is a wasteful number, since it uses less digits than its factorization.

10124364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10124364 is about 3181.8805760116. The cubic root of 10124364 is about 216.3329057193.

Adding to 10124364 its reverse (46342101), we get a palindrome (56466465).

The spelling of 10124364 in words is "ten million, one hundred twenty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 47 58 87 94 116 141 174 188 282 348 564 619 1238 1363 1857 2476 2726 3714 4089 5452 7428 8178 16356 17951 29093 35902 53853 58186 71804 87279 107706 116372 174558 215412 349116 843697 1687394 2531091 3374788 5062182 10124364