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2124096 = 263132337
BaseRepresentation
bin1000000110100101000000
310222220201020
420012211000
51020432341
6113305440
724024462
oct10064500
93886636
102124096
111220957
12865280
13594a80
143d4132
152be566
hex206940

2124096 has 112 divisors (see below), whose sum is σ = 6486144. Its totient is φ = 608256.

The previous prime is 2124049. The next prime is 2124127. The reversal of 2124096 is 6904212.

2124096 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

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, 57390 + ... + 57426.

It is an arithmetic number, because the mean of its divisors is an integer number (57912).

22124096 is an apocalyptic number.

2124096 is a gapful number since it is divisible by the number (26) 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 2124096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243072).

2124096 is an abundant number, since it is smaller than the sum of its proper divisors (4362048).

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

2124096 is a wasteful number, since it uses less digits than its factorization.

2124096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 78 counting only the distinct ones).

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

The square root of 2124096 is about 1457.4278712856. The cubic root of 2124096 is about 128.5458460564.

The spelling of 2124096 in words is "two million, one hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 37 39 46 48 52 64 69 74 78 92 96 104 111 138 148 156 184 192 208 222 276 296 299 312 368 416 444 481 552 592 598 624 736 832 851 888 897 962 1104 1184 1196 1248 1443 1472 1702 1776 1794 1924 2208 2368 2392 2496 2553 2886 3404 3552 3588 3848 4416 4784 5106 5772 6808 7104 7176 7696 9568 10212 11063 11544 13616 14352 15392 19136 20424 22126 23088 27232 28704 30784 33189 40848 44252 46176 54464 57408 66378 81696 88504 92352 132756 163392 177008 265512 354016 531024 708032 1062048 2124096