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10282914 = 23219107281
BaseRepresentation
bin100111001110…
…011110100010
3201100102111200
4213032132202
510113023124
61004222030
7153255225
oct47163642
921312450
1010282914
115893784
12353a916
132190585
1415195bc
15d81bc9
hex9ce7a2

10282914 has 48 divisors (see below), whose sum is σ = 23755680. Its totient is φ = 3205440.

The previous prime is 10282903. The next prime is 10282919. The reversal of 10282914 is 41928201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10282919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36454 + ... + 36734.

It is an arithmetic number, because the mean of its divisors is an integer number (494910).

Almost surely, 210282914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10282914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11877840).

10282914 is an abundant number, since it is smaller than the sum of its proper divisors (13472766).

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

10282914 is a wasteful number, since it uses less digits than its factorization.

10282914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10282914 is about 3206.6983019923. The cubic root of 10282914 is about 217.4563368555.

The spelling of 10282914 in words is "ten million, two hundred eighty-two thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 107 114 171 214 281 321 342 562 642 843 963 1686 1926 2033 2529 4066 5058 5339 6099 10678 12198 16017 18297 30067 32034 36594 48051 60134 90201 96102 180402 270603 541206 571273 1142546 1713819 3427638 5141457 10282914