Search a number
-
+
10315320 = 2335671283
BaseRepresentation
bin100111010110…
…011000111000
3201102001221220
4213112120320
510120042240
61005032040
7153451551
oct47263070
921361856
1010315320
115906064
123555620
1321a2252
141527328
15d8b5d0
hex9d6638

10315320 has 64 divisors (see below), whose sum is σ = 31432320. Its totient is φ = 2707584.

The previous prime is 10315307. The next prime is 10315363. The reversal of 10315320 is 2351301.

It is a happy number.

10315320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10315320.

It is a congruent number.

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, 7399 + ... + 8681.

It is an arithmetic number, because the mean of its divisors is an integer number (491130).

Almost surely, 210315320 is an apocalyptic number.

10315320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10315320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15716160).

10315320 is an abundant number, since it is smaller than the sum of its proper divisors (21117000).

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

10315320 is a wasteful number, since it uses less digits than its factorization.

10315320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 10315320 is about 3211.7471880582. The cubic root of 10315320 is about 217.6845309376.

Adding to 10315320 its reverse (2351301), we get a palindrome (12666621).

The spelling of 10315320 in words is "ten million, three hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1283 1340 1608 2010 2566 2680 3849 4020 5132 6415 7698 8040 10264 12830 15396 19245 25660 30792 38490 51320 76980 85961 153960 171922 257883 343844 429805 515766 687688 859610 1031532 1289415 1719220 2063064 2578830 3438440 5157660 10315320