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2831136 = 253711383
BaseRepresentation
bin1010110011001100100000
312022211120220
422303030200
51211044021
6140403040
733031020
oct12631440
95284526
102831136
111664090
12b46480
13781839
14539a80
153adcc6
hex2b3320

2831136 has 96 divisors (see below), whose sum is σ = 9289728. Its totient is φ = 733440.

The previous prime is 2831089. The next prime is 2831141. The reversal of 2831136 is 6311382.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7201 + ... + 7583.

It is an arithmetic number, because the mean of its divisors is an integer number (96768).

22831136 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 2831136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644864).

2831136 is an abundant number, since it is smaller than the sum of its proper divisors (6458592).

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

2831136 is a wasteful number, since it uses less digits than its factorization.

2831136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 2831136 is about 1682.5979912029. The cubic root of 2831136 is about 141.4664897527.

It can be divided in two parts, 2 and 831136, that added together give a palindrome (831138).

The spelling of 2831136 in words is "two million, eight hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 383 462 528 616 672 766 924 1056 1149 1232 1532 1848 2298 2464 2681 3064 3696 4213 4596 5362 6128 7392 8043 8426 9192 10724 12256 12639 16086 16852 18384 21448 25278 29491 32172 33704 36768 42896 50556 58982 64344 67408 85792 88473 101112 117964 128688 134816 176946 202224 235928 257376 353892 404448 471856 707784 943712 1415568 2831136