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10279540 = 225513977
BaseRepresentation
bin100111001101…
…101001110100
3201100020212201
4213031221310
510112421130
61004154244
7153242335
oct47155164
921306781
1010279540
115891197
123538984
13218bb8b
14151828c
15d80bca
hex9cda74

10279540 has 12 divisors (see below), whose sum is σ = 21587076. Its totient is φ = 4111808.

The previous prime is 10279531. The next prime is 10279547. The reversal of 10279540 is 4597201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3341584 + 6937956 = 1828^2 + 2634^2 .

It is a super-2 number, since 2×102795402 = 211337885223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10279499 and 10279508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10279547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 256969 + ... + 257008.

It is an arithmetic number, because the mean of its divisors is an integer number (1798923).

Almost surely, 210279540 is an apocalyptic number.

10279540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10279540 is an abundant number, since it is smaller than the sum of its proper divisors (11307536).

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

10279540 is a wasteful number, since it uses less digits than its factorization.

10279540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513986 (or 513984 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 10279540 is about 3206.1721725447. The cubic root of 10279540 is about 217.4325505390.

The spelling of 10279540 in words is "ten million, two hundred seventy-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 513977 1027954 2055908 2569885 5139770 10279540