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10314918 = 233672851
BaseRepresentation
bin100111010110…
…010010100110
3201102001102000
4213112102212
510120034133
61005030130
7153450435
oct47262246
921361360
1010314918
115905829
123555346
1321a2003
14152711c
15d8b413
hex9d64a6

10314918 has 32 divisors (see below), whose sum is σ = 23272320. Its totient is φ = 3385800.

The previous prime is 10314901. The next prime is 10314943. The reversal of 10314918 is 81941301.

10314918 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 10314891 and 10314900.

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, 2193 + ... + 5043.

It is an arithmetic number, because the mean of its divisors is an integer number (727260).

Almost surely, 210314918 is an apocalyptic number.

10314918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11636160).

10314918 is an abundant number, since it is smaller than the sum of its proper divisors (12957402).

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

10314918 is a wasteful number, since it uses less digits than its factorization.

10314918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10314918 is about 3211.6846046896. The cubic root of 10314918 is about 217.6817030946.

The spelling of 10314918 in words is "ten million, three hundred fourteen thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1809 2851 3618 5702 8553 17106 25659 51318 76977 153954 191017 382034 573051 1146102 1719153 3438306 5157459 10314918