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10069960 = 235298681
BaseRepresentation
bin100110011010…
…011111001000
3200221121101111
4212122133020
510034214320
6555500104
7151410325
oct46323710
920847344
1010069960
11575878a
123457634
132117674
1414a1b4c
15d3da5a
hex99a7c8

10069960 has 32 divisors (see below), whose sum is σ = 23441400. Its totient is φ = 3888640.

The previous prime is 10069949. The next prime is 10069963. The reversal of 10069960 is 6996001.

10069960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9326916 + 743044 = 3054^2 + 862^2 .

It is not an unprimeable number, because it can be changed into a prime (10069963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3181 + ... + 5500.

Almost surely, 210069960 is an apocalyptic number.

10069960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10069960 is an abundant number, since it is smaller than the sum of its proper divisors (13371440).

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

10069960 is a wasteful number, since it uses less digits than its factorization.

10069960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8721 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 10069960 is about 3173.3200279833. The cubic root of 10069960 is about 215.9447160757.

The spelling of 10069960 in words is "ten million, sixty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 8681 17362 34724 43405 69448 86810 173620 251749 347240 503498 1006996 1258745 2013992 2517490 5034980 10069960