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10427208 = 23311127311
BaseRepresentation
bin100111110001…
…101101001000
3201121202102220
4213301231020
510132132313
61011254040
7154426011
oct47615510
921552386
1010427208
115982130
1235aa320
13221115c
141556008
15dae823
hex9f1b48

10427208 has 64 divisors (see below), whose sum is σ = 28753920. Its totient is φ = 3124800.

The previous prime is 10427189. The next prime is 10427213. The reversal of 10427208 is 80272401.

10427208 is digitally balanced in base 2 and base 4, because in such bases 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 (24).

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, 33373 + ... + 33683.

It is an arithmetic number, because the mean of its divisors is an integer number (449280).

Almost surely, 210427208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10427208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14376960).

10427208 is an abundant number, since it is smaller than the sum of its proper divisors (18326712).

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

10427208 is a wasteful number, since it uses less digits than its factorization.

10427208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10427208 is about 3229.1187652361. The cubic root of 10427208 is about 218.4687609706.

Adding to 10427208 its reverse (80272401), we get a palindrome (90699609).

The spelling of 10427208 in words is "ten million, four hundred twenty-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 254 264 311 381 508 622 762 933 1016 1244 1397 1524 1866 2488 2794 3048 3421 3732 4191 5588 6842 7464 8382 10263 11176 13684 16764 20526 27368 33528 39497 41052 78994 82104 118491 157988 236982 315976 434467 473964 868934 947928 1303401 1737868 2606802 3475736 5213604 10427208