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10242576 = 243271129
BaseRepresentation
bin100111000100…
…101000010000
3201021101011200
4213010220100
510110230301
61003311200
7153026511
oct47045020
921241150
1010242576
115866443
12351b500
1321780c6
141508a08
15d74c86
hex9c4a10

10242576 has 30 divisors (see below), whose sum is σ = 28665390. Its totient is φ = 3414144.

The previous prime is 10242553. The next prime is 10242581. The reversal of 10242576 is 67524201.

It can be written as a sum of positive squares in only one way, i.e., 7420176 + 2822400 = 2724^2 + 1680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35421 + ... + 35708.

It is an arithmetic number, because the mean of its divisors is an integer number (955513).

Almost surely, 210242576 is an apocalyptic number.

10242576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10242576 is an abundant number, since it is smaller than the sum of its proper divisors (18422814).

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

10242576 is a wasteful number, since it uses less digits than its factorization.

10242576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71143 (or 71134 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10242576 is about 3200.4024746897. The cubic root of 10242576 is about 217.1716170191.

Adding to 10242576 its reverse (67524201), we get a palindrome (77766777).

It can be divided in two parts, 1024 and 2576, that added together give a square (3600 = 602).

The spelling of 10242576 in words is "ten million, two hundred forty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 71129 142258 213387 284516 426774 569032 640161 853548 1138064 1280322 1707096 2560644 3414192 5121288 10242576