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10848728 = 2311434761
BaseRepresentation
bin101001011000…
…100111011000
3202102011122202
4221120213120
510234124403
61024305332
7161132642
oct51304730
922364582
1010848728
11613a8a0
123772248
13232ac87
141625892
15e44688
hexa589d8

10848728 has 64 divisors (see below), whose sum is σ = 23569920. Its totient is φ = 4636800.

The previous prime is 10848683. The next prime is 10848751. The reversal of 10848728 is 82784801.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10848691 and 10848700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177818 + ... + 177878.

It is an arithmetic number, because the mean of its divisors is an integer number (368280).

Almost surely, 210848728 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 10848728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784960).

10848728 is an abundant number, since it is smaller than the sum of its proper divisors (12721192).

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

10848728 is a wasteful number, since it uses less digits than its factorization.

10848728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The square root of 10848728 is about 3293.7407305372. The cubic root of 10848728 is about 221.3738272872.

The spelling of 10848728 in words is "ten million, eight hundred forty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 43 44 47 61 86 88 94 122 172 188 244 344 376 473 488 517 671 946 1034 1342 1892 2021 2068 2623 2684 2867 3784 4042 4136 5246 5368 5734 8084 10492 11468 16168 20984 22231 22936 28853 31537 44462 57706 63074 88924 115412 123281 126148 177848 230824 246562 252296 493124 986248 1356091 2712182 5424364 10848728