Search a number
-
+
10396248 = 2331783307
BaseRepresentation
bin100111101010…
…001001011000
3201120011222020
4213222021120
510130134443
61010454440
7154236522
oct47521130
921504866
1010396248
115960945
123594420
132200035
141548a12
15da5583
hex9ea258

10396248 has 64 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 3211776.

The previous prime is 10396241. The next prime is 10396271. The reversal of 10396248 is 84269301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10396241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33711 + ... + 34017.

It is an arithmetic number, because the mean of its divisors is an integer number (436590).

Almost surely, 210396248 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 10396248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

10396248 is an abundant number, since it is smaller than the sum of its proper divisors (17545512).

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

10396248 is a wasteful number, since it uses less digits than its factorization.

10396248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 10396248 is about 3224.3213239378. The cubic root of 10396248 is about 218.2523240569.

The spelling of 10396248 in words is "ten million, three hundred ninety-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 83 102 136 166 204 249 307 332 408 498 614 664 921 996 1228 1411 1842 1992 2456 2822 3684 4233 5219 5644 7368 8466 10438 11288 15657 16932 20876 25481 31314 33864 41752 50962 62628 76443 101924 125256 152886 203848 305772 433177 611544 866354 1299531 1732708 2599062 3465416 5198124 10396248