Search a number
-
+
10064592 = 2432371889
BaseRepresentation
bin100110011001…
…001011010000
3200221100000200
4212121023100
510034031332
6555415200
7151355556
oct46311320
920840020
1010064592
11575474a
123454500
1321150a5
14149dbd6
15d3c17c
hex9992d0

10064592 has 60 divisors (see below), whose sum is σ = 28943460. Its totient is φ = 3262464.

The previous prime is 10064591. The next prime is 10064609. The reversal of 10064592 is 29546001.

10064592 is a `hidden beast` number, since 10 + 0 + 64 + 592 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7160976 + 2903616 = 2676^2 + 1704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10064591) 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, 4384 + ... + 6272.

It is an arithmetic number, because the mean of its divisors is an integer number (482391).

Almost surely, 210064592 is an apocalyptic number.

10064592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10064592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471730).

10064592 is an abundant number, since it is smaller than the sum of its proper divisors (18878868).

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

10064592 is a wasteful number, since it uses less digits than its factorization.

10064592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10064592 is about 3172.4741133696. The cubic root of 10064592 is about 215.9063379929.

The spelling of 10064592 in words is "ten million, sixty-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 1889 2664 3778 5328 5667 7556 11334 15112 17001 22668 30224 34002 45336 68004 69893 90672 136008 139786 209679 272016 279572 419358 559144 629037 838716 1118288 1258074 1677432 2516148 3354864 5032296 10064592