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10052460 = 22325115077
BaseRepresentation
bin100110010110…
…001101101100
3200220201101100
4212112031230
510033134320
6555243100
7151305315
oct46261554
920821340
1010052460
115746620
123449490
13210c702
14149960c
15d38790
hex99636c

10052460 has 72 divisors (see below), whose sum is σ = 33271056. Its totient is φ = 2436480.

The previous prime is 10052459. The next prime is 10052467. The reversal of 10052460 is 6425001.

It is a happy number.

10052460 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 (18).

It is not an unprimeable number, because it can be changed into a prime (10052467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559 + ... + 4518.

It is an arithmetic number, because the mean of its divisors is an integer number (462098).

Almost surely, 210052460 is an apocalyptic number.

10052460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10052460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16635528).

10052460 is an abundant number, since it is smaller than the sum of its proper divisors (23218596).

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

10052460 is a wasteful number, since it uses less digits than its factorization.

10052460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5103 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10052460 is about 3170.5614644728. The cubic root of 10052460 is about 215.8195509387.

Adding to 10052460 its reverse (6425001), we get a palindrome (16477461).

The spelling of 10052460 in words is "ten million, fifty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5077 10154 15231 20308 25385 30462 45693 50770 55847 60924 76155 91386 101540 111694 152310 167541 182772 223388 228465 279235 304620 335082 456930 502623 558470 670164 837705 913860 1005246 1116940 1675410 2010492 2513115 3350820 5026230 10052460