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10320064 = 261131427
BaseRepresentation
bin100111010111…
…100011000000
3201102022110121
4213113203000
510120220224
61005110024
7153501436
oct47274300
921368417
1010320064
115909687
123558314
1321a4461
141528d56
15d8cbe4
hex9d78c0

10320064 has 28 divisors (see below), whose sum is σ = 20674584. Its totient is φ = 5110784.

The previous prime is 10320029. The next prime is 10320067. The reversal of 10320064 is 46002301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10320067) 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 3 ways as a sum of consecutive naturals, for example, 6519 + ... + 7945.

It is an arithmetic number, because the mean of its divisors is an integer number (738378).

Almost surely, 210320064 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 10320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10337292).

10320064 is an abundant number, since it is smaller than the sum of its proper divisors (10354520).

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

10320064 is a wasteful number, since it uses less digits than its factorization.

10320064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 10320064 is about 3212.4856419913. The cubic root of 10320064 is about 217.7178967516.

Adding to 10320064 its reverse (46002301), we get a palindrome (56322365).

The spelling of 10320064 in words is "ten million, three hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1427 1808 2854 3616 5708 7232 11416 22832 45664 91328 161251 322502 645004 1290008 2580016 5160032 10320064