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10853712 = 2432193967
BaseRepresentation
bin101001011001…
…110101010000
3202102102111100
4221121311100
510234304322
61024344400
7161153322
oct51316520
922372440
1010853712
116143611
123775100
13233031c
141627612
15e45dac
hexa59d50

10853712 has 60 divisors (see below), whose sum is σ = 31982080. Its totient is φ = 3426624.

The previous prime is 10853683. The next prime is 10853719. The reversal of 10853712 is 21735801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10853719) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 753 + ... + 4719.

Almost surely, 210853712 is an apocalyptic number.

10853712 is a gapful number since it is divisible by the number (12) 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 10853712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991040).

10853712 is an abundant number, since it is smaller than the sum of its proper divisors (21128368).

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

10853712 is a wasteful number, since it uses less digits than its factorization.

10853712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10853712 is about 3294.4972302310. The cubic root of 10853712 is about 221.4077224510.

The spelling of 10853712 in words is "ten million, eight hundred fifty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 3967 7934 11901 15868 23802 31736 35703 47604 63472 71406 75373 95208 142812 150746 190416 226119 285624 301492 452238 571248 602984 678357 904476 1205968 1356714 1808952 2713428 3617904 5426856 10853712