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10315368 = 2332797211
BaseRepresentation
bin100111010110…
…011001101000
3201102002000200
4213112121220
510120042433
61005032200
7153451650
oct47263150
921362020
1010315368
1159060a8
123555660
1321a228b
141527360
15d8b613
hex9d6668

10315368 has 96 divisors (see below), whose sum is σ = 32410560. Its totient is φ = 2903040.

The previous prime is 10315363. The next prime is 10315369. The reversal of 10315368 is 86351301.

10315368 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

10315368 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (10315363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48783 + ... + 48993.

It is an arithmetic number, because the mean of its divisors is an integer number (337610).

Almost surely, 210315368 is an apocalyptic number.

10315368 is a gapful number since it is divisible by the number (18) 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 10315368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16205280).

10315368 is an abundant number, since it is smaller than the sum of its proper divisors (22095192).

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

10315368 is a wasteful number, since it uses less digits than its factorization.

10315368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10315368 is about 3211.7546606178. The cubic root of 10315368 is about 217.6848685856.

Adding to 10315368 its reverse (86351301), we get a palindrome (96666669).

The spelling of 10315368 in words is "ten million, three hundred fifteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 97 126 168 194 211 252 291 388 422 504 582 633 679 776 844 873 1164 1266 1358 1477 1688 1746 1899 2037 2328 2532 2716 2954 3492 3798 4074 4431 5064 5432 5908 6111 6984 7596 8148 8862 11816 12222 13293 15192 16296 17724 20467 24444 26586 35448 40934 48888 53172 61401 81868 106344 122802 143269 163736 184203 245604 286538 368406 429807 491208 573076 736812 859614 1146152 1289421 1473624 1719228 2578842 3438456 5157684 10315368