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10267088 = 241323797
BaseRepresentation
bin100111001010…
…100111010000
3201022121210112
4213022213100
510112021323
61004020452
7153161126
oct47124720
921277715
1010267088
1158828a7
123531728
132186300
141513916
15d7c178
hex9ca9d0

10267088 has 30 divisors (see below), whose sum is σ = 21546054. Its totient is φ = 4737408.

The previous prime is 10267079. The next prime is 10267091. The reversal of 10267088 is 88076201.

It can be written as a sum of positive squares in 3 ways, for example, as 1098304 + 9168784 = 1048^2 + 3028^2 .

It is a super-4 number, since 4×102670884 (a number of 29 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 806 + ... + 4602.

Almost surely, 210267088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10267088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10773027).

10267088 is an abundant number, since it is smaller than the sum of its proper divisors (11278966).

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

10267088 is a wasteful number, since it uses less digits than its factorization.

10267088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 10267088 is about 3204.2297046248. The cubic root of 10267088 is about 217.3447202769.

The spelling of 10267088 in words is "ten million, two hundred sixty-seven thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 3797 7594 15188 30376 49361 60752 98722 197444 394888 641693 789776 1283386 2566772 5133544 10267088