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10968120 = 2332530467
BaseRepresentation
bin101001110101…
…110000111000
3202122020102200
4221311300320
510301434440
61031030200
7162141012
oct51656070
922566380
1010968120
116211569
12380b360
132370417
1416571b2
15e69c30
hexa75c38

10968120 has 48 divisors (see below), whose sum is σ = 35647560. Its totient is φ = 2924736.

The previous prime is 10968103. The next prime is 10968127. The reversal of 10968120 is 2186901.

10968120 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 is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10968127) 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, 14874 + ... + 15593.

Almost surely, 210968120 is an apocalyptic number.

10968120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10968120 is an abundant number, since it is smaller than the sum of its proper divisors (24679440).

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

10968120 is a wasteful number, since it uses less digits than its factorization.

10968120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30484 (or 30477 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10968120 is about 3311.8152122363. The cubic root of 10968120 is about 222.1829512086.

It can be divided in two parts, 1096 and 8120, that added together give a square (9216 = 962).

The spelling of 10968120 in words is "ten million, nine hundred sixty-eight thousand, one hundred twenty".

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 30467 60934 91401 121868 152335 182802 243736 274203 304670 365604 457005 548406 609340 731208 914010 1096812 1218680 1371015 1828020 2193624 2742030 3656040 5484060 10968120