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10276064 = 25537383
BaseRepresentation
bin100111001100…
…110011100000
3201100002002222
4213030303200
510112313224
61004130212
7153226241
oct47146340
921302088
1010276064
115889617
123536968
13218a416
141516cc8
15d7eb5e
hex9ccce0

10276064 has 48 divisors (see below), whose sum is σ = 21146832. Its totient is φ = 4912128.

The previous prime is 10276061. The next prime is 10276067. The reversal of 10276064 is 46067201.

It is an interprime number because it is at equal distance from previous prime (10276061) and next prime (10276067).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10276061) 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 7 ways as a sum of consecutive naturals, for example, 123767 + ... + 123849.

It is an arithmetic number, because the mean of its divisors is an integer number (440559).

Almost surely, 210276064 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 10276064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10573416).

10276064 is an abundant number, since it is smaller than the sum of its proper divisors (10870768).

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

10276064 is an equidigital number, since it uses as much as digits as its factorization.

10276064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 10276064 is about 3205.6300472762. The cubic root of 10276064 is about 217.4080396902.

The spelling of 10276064 in words is "ten million, two hundred seventy-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 53 73 83 106 146 166 212 292 332 424 584 664 848 1168 1328 1696 2336 2656 3869 4399 6059 7738 8798 12118 15476 17596 24236 30952 35192 48472 61904 70384 96944 123808 140768 193888 321127 642254 1284508 2569016 5138032 10276064