Search a number
-
+
10084592 = 247219677
BaseRepresentation
bin100110011110…
…000011110000
3200222100110102
4212132003300
510040201332
61000051532
7151501100
oct46360360
920870412
1010084592
115768781
123463ba8
13212121b
1414a7200
15d43062
hex99e0f0

10084592 has 60 divisors (see below), whose sum is σ = 23960520. Its totient is φ = 4088448.

The previous prime is 10084567. The next prime is 10084601. The reversal of 10084592 is 29548001.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14558 + ... + 15234.

It is an arithmetic number, because the mean of its divisors is an integer number (399342).

Almost surely, 210084592 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 10084592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11980260).

10084592 is an abundant number, since it is smaller than the sum of its proper divisors (13875928).

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

10084592 is a wasteful number, since it uses less digits than its factorization.

10084592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 10084592 is about 3175.6246629600. The cubic root of 10084592 is about 216.0492571706.

The spelling of 10084592 in words is "ten million, eighty-four thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 677 784 931 1064 1354 1862 2128 2708 3724 4739 5416 7448 9478 10832 12863 14896 18956 25726 33173 37912 51452 66346 75824 90041 102904 132692 180082 205808 265384 360164 530768 630287 720328 1260574 1440656 2521148 5042296 10084592