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11322064 = 2413291877
BaseRepresentation
bin101011001100…
…001011010000
3210022012221201
4223030023100
510344301224
61042400544
7165143635
oct53141320
923265851
1011322064
116433486
123960154
132465560
14170a18c
15ed9a44
hexacc2d0

11322064 has 40 divisors (see below), whose sum is σ = 24451560. Its totient is φ = 5042688.

The previous prime is 11322061. The next prime is 11322067. The reversal of 11322064 is 46022311.

It is an interprime number because it is at equal distance from previous prime (11322061) and next prime (11322067).

It can be written as a sum of positive squares in 4 ways, for example, as 824464 + 10497600 = 908^2 + 3240^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5094 + ... + 6970.

It is an arithmetic number, because the mean of its divisors is an integer number (611289).

Almost surely, 211322064 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 11322064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12225780).

11322064 is an abundant number, since it is smaller than the sum of its proper divisors (13129496).

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

11322064 is a wasteful number, since it uses less digits than its factorization.

11322064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 11322064 is about 3364.8274844336. The cubic root of 11322064 is about 224.5476607755.

Adding to 11322064 its reverse (46022311), we get a palindrome (57344375).

The spelling of 11322064 in words is "eleven million, three hundred twenty-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 1877 3016 3754 6032 7508 15016 24401 30032 48802 54433 97604 108866 195208 217732 390416 435464 707629 870928 1415258 2830516 5661032 11322064