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10492064 = 251141727
BaseRepresentation
bin101000000001…
…100010100000
3201202001101222
4220001202200
510141221224
61012514212
7155116052
oct50014240
921661358
1010492064
115a16930
12361b968
13223482b
1415718d2
15dc3b5e
hexa018a0

10492064 has 48 divisors (see below), whose sum is σ = 23115456. Its totient is φ = 4646400.

The previous prime is 10492063. The next prime is 10492067. The reversal of 10492064 is 46029401.

It is a super-2 number, since 2×104920642 = 220166813960192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10492063) 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, 14069 + ... + 14795.

It is an arithmetic number, because the mean of its divisors is an integer number (481572).

Almost surely, 210492064 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 10492064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728).

10492064 is an abundant number, since it is smaller than the sum of its proper divisors (12623392).

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

10492064 is a wasteful number, since it uses less digits than its factorization.

10492064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 10492064 is about 3239.1455663492. The cubic root of 10492064 is about 218.9207750518.

It can be divided in two parts, 1049 and 2064, that added together give a palindrome (3113).

The spelling of 10492064 in words is "ten million, four hundred ninety-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 727 902 1312 1454 1804 2908 3608 5816 7216 7997 11632 14432 15994 23264 29807 31988 59614 63976 119228 127952 238456 255904 327877 476912 655754 953824 1311508 2623016 5246032 10492064