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10124224 = 261173197
BaseRepresentation
bin100110100111…
…101111000000
3201001100211021
4212213233000
510042433344
61000555224
7152024455
oct46475700
921040737
1010124224
115795530
123482b14
132136286
1414b782c
15d4eb84
hex9a7bc0

10124224 has 56 divisors (see below), whose sum is σ = 22329648. Its totient is φ = 4515840.

The previous prime is 10124203. The next prime is 10124237. The reversal of 10124224 is 42242101.

10124224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10124198 and 10124207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51294 + ... + 51490.

Almost surely, 210124224 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 10124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11164824).

10124224 is an abundant number, since it is smaller than the sum of its proper divisors (12205424).

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

10124224 is a wasteful number, since it uses less digits than its factorization.

10124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 10124224 is about 3181.8585763670. The cubic root of 10124224 is about 216.3319085621.

Adding to 10124224 its reverse (42242101), we get a palindrome (52366325).

The spelling of 10124224 in words is "ten million, one hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 146 176 197 292 352 394 584 704 788 803 1168 1576 1606 2167 2336 3152 3212 4334 4672 6304 6424 8668 12608 12848 14381 17336 25696 28762 34672 51392 57524 69344 115048 138688 158191 230096 316382 460192 632764 920384 1265528 2531056 5062112 10124224