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10273340 = 2257211953
BaseRepresentation
bin100111001100…
…001000111100
3201022221101002
4213030020330
510112221330
61004105432
7153215300
oct47141074
921287332
1010273340
115887570
123535278
1321890cc
141515d00
15d7de45
hex9cc23c

10273340 has 72 divisors (see below), whose sum is σ = 27406512. Its totient is φ = 3198720.

The previous prime is 10273331. The next prime is 10273343. The reversal of 10273340 is 4337201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10273343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10304 + ... + 11256.

It is an arithmetic number, because the mean of its divisors is an integer number (380646).

Almost surely, 210273340 is an apocalyptic number.

10273340 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 10273340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13703256).

10273340 is an abundant number, since it is smaller than the sum of its proper divisors (17133172).

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

10273340 is a wasteful number, since it uses less digits than its factorization.

10273340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 10273340 is about 3205.2051416407. The cubic root of 10273340 is about 217.3888276703.

The spelling of 10273340 in words is "ten million, two hundred seventy-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 953 980 1078 1540 1906 2156 2695 3812 4765 5390 6671 9530 10483 10780 13342 19060 20966 26684 33355 41932 46697 52415 66710 73381 93394 104830 133420 146762 186788 209660 233485 293524 366905 466970 513667 733810 933940 1027334 1467620 2054668 2568335 5136670 10273340