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10283064 = 2331123541
BaseRepresentation
bin100111001110…
…100000111000
3201100102201020
4213032200320
510113024224
61004222440
7153255531
oct47164070
921312636
1010283064
115893900
12353aa20
13219066c
141519688
15d81c79
hex9ce838

10283064 has 48 divisors (see below), whose sum is σ = 28265160. Its totient is φ = 3115200.

The previous prime is 10283059. The next prime is 10283069. The reversal of 10283064 is 46038201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10283059) and next prime (10283069).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10283069) 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 11 ways as a sum of consecutive naturals, for example, 1134 + ... + 4674.

Almost surely, 210283064 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 10283064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14132580).

10283064 is an abundant number, since it is smaller than the sum of its proper divisors (17982096).

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

10283064 is a wasteful number, since it uses less digits than its factorization.

10283064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10283064 is about 3206.7216904496. The cubic root of 10283064 is about 217.4573942176.

The spelling of 10283064 in words is "ten million, two hundred eighty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 3541 7082 10623 14164 21246 28328 38951 42492 77902 84984 116853 155804 233706 311608 428461 467412 856922 934824 1285383 1713844 2570766 3427688 5141532 10283064