Search a number
-
+
10293088 = 2513109227
BaseRepresentation
bin100111010000…
…111101100000
3201100221110111
4213100331200
510113334323
61004341104
7153330001
oct47207540
921327414
1010293088
1158a0393
123544794
1321950b0
14151d1a8
15d84c0d
hex9d0f60

10293088 has 48 divisors (see below), whose sum is σ = 22120560. Its totient is φ = 4686336.

The previous prime is 10293071. The next prime is 10293113. The reversal of 10293088 is 88039201.

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 7 ways as a sum of consecutive naturals, for example, 45231 + ... + 45457.

It is an arithmetic number, because the mean of its divisors is an integer number (460845).

Almost surely, 210293088 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 10293088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11060280).

10293088 is an abundant number, since it is smaller than the sum of its proper divisors (11827472).

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

10293088 is a wasteful number, since it uses less digits than its factorization.

10293088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 10293088 is about 3208.2842766812. The cubic root of 10293088 is about 217.5280309141.

The spelling of 10293088 in words is "ten million, two hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 109 208 218 227 416 436 454 872 908 1417 1744 1816 2834 2951 3488 3632 5668 5902 7264 11336 11804 22672 23608 24743 45344 47216 49486 94432 98972 197944 321659 395888 643318 791776 1286636 2573272 5146544 10293088