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10968840 = 2332530469
BaseRepresentation
bin101001110101…
…111100001000
3202122021102100
4221311330020
510302000330
61031033400
7162143061
oct51657410
922567370
1010968840
116212063
12380b860
13237084c
141657568
15e6a060
hexa75f08

10968840 has 48 divisors (see below), whose sum is σ = 35649900. Its totient is φ = 2924928.

The previous prime is 10968829. The next prime is 10968847. The reversal of 10968840 is 4886901.

It is a happy number.

10968840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10929636 + 39204 = 3306^2 + 198^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10968795 and 10968804.

It is not an unprimeable number, because it can be changed into a prime (10968847) 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, 14875 + ... + 15594.

Almost surely, 210968840 is an apocalyptic number.

10968840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10968840 is an abundant number, since it is smaller than the sum of its proper divisors (24681060).

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

10968840 is a wasteful number, since it uses less digits than its factorization.

10968840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30486 (or 30479 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10968840 is about 3311.9239121695. The cubic root of 10968840 is about 222.1878128204.

The spelling of 10968840 in words is "ten million, nine hundred sixty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 30469 60938 91407 121876 152345 182814 243752 274221 304690 365628 457035 548442 609380 731256 914070 1096884 1218760 1371105 1828140 2193768 2742210 3656280 5484420 10968840