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10851940 = 22511107461
BaseRepresentation
bin101001011001…
…011001100100
3202102100001201
4221121121210
510234230230
61024332244
7161145211
oct51313144
922370051
1010851940
116142250
123774084
13232c588
141626b08
15e455ca
hexa59664

10851940 has 48 divisors (see below), whose sum is σ = 25147584. Its totient is φ = 3900800.

The previous prime is 10851937. The next prime is 10851947. The reversal of 10851940 is 4915801.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10851899 and 10851908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10851947) 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 15 ways as a sum of consecutive naturals, for example, 23310 + ... + 23770.

It is an arithmetic number, because the mean of its divisors is an integer number (523908).

Almost surely, 210851940 is an apocalyptic number.

10851940 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 10851940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12573792).

10851940 is an abundant number, since it is smaller than the sum of its proper divisors (14295644).

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

10851940 is a wasteful number, since it uses less digits than its factorization.

10851940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 10851940 is about 3294.2282859571. The cubic root of 10851940 is about 221.3956726308.

It can be divided in two parts, 1085 and 1940, that added together give a square (3025 = 552).

The spelling of 10851940 in words is "ten million, eight hundred fifty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 461 535 922 1070 1177 1844 2140 2305 2354 4610 4708 5071 5885 9220 10142 11770 20284 23540 25355 49327 50710 98654 101420 197308 246635 493270 542597 986540 1085194 2170388 2712985 5425970 10851940