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2096864 = 257112337
BaseRepresentation
bin111111111111011100000
310221112100122
413333323200
51014044424
6112535412
723552210
oct7777340
93845318
102096864
111202450
12851568
13585563
143c8240
152b645e
hex1ffee0

2096864 has 96 divisors (see below), whose sum is σ = 5515776. Its totient is φ = 760320.

The previous prime is 2096851. The next prime is 2096867. The reversal of 2096864 is 4686902.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2096867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56654 + ... + 56690.

It is an arithmetic number, because the mean of its divisors is an integer number (57456).

22096864 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 2096864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888).

2096864 is an abundant number, since it is smaller than the sum of its proper divisors (3418912).

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

2096864 is a wasteful number, since it uses less digits than its factorization.

2096864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 2096864 is about 1448.0552475648. The cubic root of 2096864 is about 127.9941403568.

The spelling of 2096864 in words is "two million, ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 37 44 46 56 74 77 88 92 112 148 154 161 176 184 224 253 259 296 308 322 352 368 407 506 518 592 616 644 736 814 851 1012 1036 1184 1232 1288 1628 1702 1771 2024 2072 2464 2576 2849 3256 3404 3542 4048 4144 5152 5698 5957 6512 6808 7084 8096 8288 9361 11396 11914 13024 13616 14168 18722 22792 23828 27232 28336 37444 45584 47656 56672 65527 74888 91168 95312 131054 149776 190624 262108 299552 524216 1048432 2096864