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10214856 = 2333192131
BaseRepresentation
bin100110111101…
…110111001000
3201012222011000
4212331313020
510103333411
61002535000
7152552631
oct46756710
921188130
1010214856
115847633
123507460
1321685c2
1414dc888
15d6b956
hex9bddc8

10214856 has 96 divisors (see below), whose sum is σ = 30175200. Its totient is φ = 3201120.

The previous prime is 10214851. The next prime is 10214917. The reversal of 10214856 is 65841201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10214851) 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, 77911 + ... + 78041.

It is an arithmetic number, because the mean of its divisors is an integer number (314325).

Almost surely, 210214856 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 10214856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087600).

10214856 is an abundant number, since it is smaller than the sum of its proper divisors (19960344).

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

10214856 is a wasteful number, since it uses less digits than its factorization.

10214856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10214856 is about 3196.0688353038. The cubic root of 10214856 is about 216.9755258488.

The spelling of 10214856 in words is "ten million, two hundred fourteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 131 152 171 216 228 262 342 361 393 456 513 524 684 722 786 1026 1048 1083 1179 1368 1444 1572 2052 2166 2358 2489 2888 3144 3249 3537 4104 4332 4716 4978 6498 7074 7467 8664 9432 9747 9956 12996 14148 14934 19494 19912 22401 25992 28296 29868 38988 44802 47291 59736 67203 77976 89604 94582 134406 141873 179208 189164 268812 283746 378328 425619 537624 567492 851238 1134984 1276857 1702476 2553714 3404952 5107428 10214856