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10427320 = 235733571
BaseRepresentation
bin100111110001…
…101110111000
3201121202121001
4213301232320
510132133240
61011254344
7154426231
oct47615670
921552531
1010427320
115982222
1235aa3b4
132211217
141556088
15dae89a
hex9f1bb8

10427320 has 32 divisors (see below), whose sum is σ = 23789520. Its totient is φ = 4112640.

The previous prime is 10427317. The next prime is 10427321. The reversal of 10427320 is 2372401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10427321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1135 + ... + 4705.

Almost surely, 210427320 is an apocalyptic number.

10427320 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 10427320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11894760).

10427320 is an abundant number, since it is smaller than the sum of its proper divisors (13362200).

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

10427320 is a wasteful number, since it uses less digits than its factorization.

10427320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 10427320 is about 3229.1361073823. The cubic root of 10427320 is about 218.4695431683.

Adding to 10427320 its reverse (2372401), we get a palindrome (12799721).

The spelling of 10427320 in words is "ten million, four hundred twenty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 3571 7142 14284 17855 28568 35710 71420 142840 260683 521366 1042732 1303415 2085464 2606830 5213660 10427320