Search a number
-
+
10813464 = 23321011487
BaseRepresentation
bin101001010000…
…000000011000
3202100101021200
4221100000120
510232012324
61023434200
7160625064
oct51200030
922311250
1010813464
116116352
123755960
132317bcc
141616aa4
15e38ec9
hexa50018

10813464 has 48 divisors (see below), whose sum is σ = 29596320. Its totient is φ = 3566400.

The previous prime is 10813457. The next prime is 10813469. The reversal of 10813464 is 46431801.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10813469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6529 + ... + 8015.

It is an arithmetic number, because the mean of its divisors is an integer number (616590).

Almost surely, 210813464 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 10813464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798160).

10813464 is an abundant number, since it is smaller than the sum of its proper divisors (18782856).

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

10813464 is a wasteful number, since it uses less digits than its factorization.

10813464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10813464 is about 3288.3831893500. The cubic root of 10813464 is about 221.1337069593.

The spelling of 10813464 in words is "ten million, eight hundred thirteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1487 1818 2424 2974 3636 4461 5948 7272 8922 11896 13383 17844 26766 35688 53532 107064 150187 300374 450561 600748 901122 1201496 1351683 1802244 2703366 3604488 5406732 10813464