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10872468 = 2234231459
BaseRepresentation
bin101001011110…
…011010010100
3202110101020000
4221132122110
510240404333
61025011300
7161262105
oct51363224
922411200
1010872468
116156712
123783b30
132338a19
1416303ac
15e4b713
hexa5e694

10872468 has 60 divisors (see below), whose sum is σ = 29678880. Its totient is φ = 3464208.

The previous prime is 10872467. The next prime is 10872481. The reversal of 10872468 is 86427801.

10872468 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 2×108724682 = 236421120822048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10872467) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6723 + ... + 8181.

It is an arithmetic number, because the mean of its divisors is an integer number (494648).

Almost surely, 210872468 is an apocalyptic number.

10872468 is a gapful number since it is divisible by the number (18) 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 10872468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839440).

10872468 is an abundant number, since it is smaller than the sum of its proper divisors (18806412).

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

10872468 is a wasteful number, since it uses less digits than its factorization.

10872468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 10872468 is about 3297.3425663707. The cubic root of 10872468 is about 221.5351852480.

It can be divided in two parts, 1087246 and 8, that multiplied together give a palindrome (8697968).

The spelling of 10872468 in words is "ten million, eight hundred seventy-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 828 1242 1459 1863 2484 2918 3726 4377 5836 7452 8754 13131 17508 26262 33557 39393 52524 67114 78786 100671 118179 134228 157572 201342 236358 302013 402684 472716 604026 906039 1208052 1812078 2718117 3624156 5436234 10872468