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10054872 = 2332359389
BaseRepresentation
bin100110010110…
…110011011000
3200220211200200
4212112303120
510033223442
6555302200
7151315332
oct46266330
920824620
1010054872
115748413
12344a960
132110839
14149a452
15d3934c
hex996cd8

10054872 has 48 divisors (see below), whose sum is σ = 27378000. Its totient is φ = 3333696.

The previous prime is 10054867. The next prime is 10054879. The reversal of 10054872 is 27845001.

10054872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100548722 = 202200901872768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10054879) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25654 + ... + 26042.

It is an arithmetic number, because the mean of its divisors is an integer number (570375).

Almost surely, 210054872 is an apocalyptic number.

10054872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10054872 is an abundant number, since it is smaller than the sum of its proper divisors (17323128).

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

10054872 is a wasteful number, since it uses less digits than its factorization.

10054872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10054872 is about 3170.9418159279. The cubic root of 10054872 is about 215.8368108972.

Adding to 10054872 its reverse (27845001), we get a palindrome (37899873).

The spelling of 10054872 in words is "ten million, fifty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 359 389 718 778 1077 1167 1436 1556 2154 2334 2872 3112 3231 3501 4308 4668 6462 7002 8616 9336 12924 14004 25848 28008 139651 279302 418953 558604 837906 1117208 1256859 1675812 2513718 3351624 5027436 10054872