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10264240 = 245718329
BaseRepresentation
bin100111001001…
…111010110000
3201022110220001
4213021322300
510111423430
61003555344
7153146620
oct47117260
921273801
1010264240
115880748
12352bb54
132184c1c
141512880
15d7b3ca
hex9c9eb0

10264240 has 40 divisors (see below), whose sum is σ = 27275040. Its totient is φ = 3518976.

The previous prime is 10264217. The next prime is 10264271. The reversal of 10264240 is 4246201.

10264240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8605 + ... + 9724.

It is an arithmetic number, because the mean of its divisors is an integer number (681876).

Almost surely, 210264240 is an apocalyptic number.

10264240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10264240 is an abundant number, since it is smaller than the sum of its proper divisors (17010800).

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

10264240 is a wasteful number, since it uses less digits than its factorization.

10264240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18349 (or 18343 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 10264240 is about 3203.7852612184. The cubic root of 10264240 is about 217.3246219132.

The spelling of 10264240 in words is "ten million, two hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 18329 36658 73316 91645 128303 146632 183290 256606 293264 366580 513212 641515 733160 1026424 1283030 1466320 2052848 2566060 5132120 10264240