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10228960 = 25579133
BaseRepresentation
bin100111000001…
…010011100000
3201020200111101
4213001103200
510104311320
61003124144
7152642020
oct47012340
921220441
1010228960
115857195
123513654
132171b51
141503a80
15d70c0a
hex9c14e0

10228960 has 48 divisors (see below), whose sum is σ = 27621216. Its totient is φ = 3506688.

The previous prime is 10228943. The next prime is 10228963. The reversal of 10228960 is 6982201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10228963) 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, 3447 + ... + 5686.

It is an arithmetic number, because the mean of its divisors is an integer number (575442).

Almost surely, 210228960 is an apocalyptic number.

10228960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10228960 is an abundant number, since it is smaller than the sum of its proper divisors (17392256).

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

10228960 is an equidigital number, since it uses as much as digits as its factorization.

10228960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9155 (or 9147 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 10228960 is about 3198.2745348078. The cubic root of 10228960 is about 217.0753417589.

The spelling of 10228960 in words is "ten million, two hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 9133 18266 36532 45665 63931 73064 91330 127862 146128 182660 255724 292256 319655 365320 511448 639310 730640 1022896 1278620 1461280 2045792 2557240 5114480 10228960