Search a number
-
+
10240296 = 2331179491
BaseRepresentation
bin100111000100…
…000100101000
3201021021001020
4213010010220
510110142141
61003252440
7153020043
oct47040450
921237036
1010240296
115864760
12351a120
132177061
141507c5a
15d74266
hex9c4128

10240296 has 64 divisors (see below), whose sum is σ = 28339200. Its totient is φ = 3057600.

The previous prime is 10240229. The next prime is 10240301. The reversal of 10240296 is 69204201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20611 + ... + 21101.

It is an arithmetic number, because the mean of its divisors is an integer number (442800).

Almost surely, 210240296 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 10240296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14169600).

10240296 is an abundant number, since it is smaller than the sum of its proper divisors (18098904).

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

10240296 is a wasteful number, since it uses less digits than its factorization.

10240296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10240296 is about 3200.0462496658. The cubic root of 10240296 is about 217.1555016710.

Adding to 10240296 its reverse (69204201), we get a palindrome (79444497).

The spelling of 10240296 in words is "ten million, two hundred forty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 491 632 869 948 982 1473 1738 1896 1964 2607 2946 3476 3928 5214 5401 5892 6952 10428 10802 11784 16203 20856 21604 32406 38789 43208 64812 77578 116367 129624 155156 232734 310312 426679 465468 853358 930936 1280037 1706716 2560074 3413432 5120148 10240296