Search a number
-
+
10247364 = 2233239397
BaseRepresentation
bin100111000101…
…110011000100
3201021121202000
4213011303010
510110403424
61003345300
7153046461
oct47056304
921247660
1010247364
115869aa6
123522230
13217a33a
14150a668
15d763c9
hex9c5cc4

10247364 has 48 divisors (see below), whose sum is σ = 26745600. Its totient is φ = 3392928.

The previous prime is 10247339. The next prime is 10247387. The reversal of 10247364 is 46374201.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 25614 + ... + 26010.

It is an arithmetic number, because the mean of its divisors is an integer number (557200).

Almost surely, 210247364 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 10247364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13372800).

10247364 is an abundant number, since it is smaller than the sum of its proper divisors (16498236).

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

10247364 is a wasteful number, since it uses less digits than its factorization.

10247364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 10247364 is about 3201.1504182091. The cubic root of 10247364 is about 217.2054514672.

The spelling of 10247364 in words is "ten million, two hundred forty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 239 397 478 717 794 956 1191 1434 1588 2151 2382 2868 3573 4302 4764 6453 7146 8604 10719 12906 14292 21438 25812 42876 94883 189766 284649 379532 569298 853947 1138596 1707894 2561841 3415788 5123682 10247364