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10314320 = 245314159
BaseRepresentation
bin100111010110…
…001001010000
3201102000120212
4213112021100
510120024240
61005023252
7153445622
oct47261120
921360525
1010314320
115905335
123554b28
1321a1963
141526c12
15d8b165
hex9d6250

10314320 has 40 divisors (see below), whose sum is σ = 24760320. Its totient is φ = 3991680.

The previous prime is 10314287. The next prime is 10314341. The reversal of 10314320 is 2341301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10314295 and 10314304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401 + ... + 4559.

It is an arithmetic number, because the mean of its divisors is an integer number (619008).

Almost surely, 210314320 is an apocalyptic number.

10314320 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 10314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12380160).

10314320 is an abundant number, since it is smaller than the sum of its proper divisors (14446000).

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

10314320 is a wasteful number, since it uses less digits than its factorization.

10314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4203 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 10314320 is about 3211.5915057803. The cubic root of 10314320 is about 217.6774963662.

Adding to 10314320 its reverse (2341301), we get a palindrome (12655621).

The spelling of 10314320 in words is "ten million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 4159 8318 16636 20795 33272 41590 66544 83180 128929 166360 257858 332720 515716 644645 1031432 1289290 2062864 2578580 5157160 10314320