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2113848 = 23321117157
BaseRepresentation
bin1000000100000100111000
310222101122200
420010010320
51020120343
6113150200
723652552
oct10040470
93871580
102113848
111214190
1285b360
135901c9
143d04d2
152bb4d3
hex204138

2113848 has 96 divisors (see below), whose sum is σ = 6654960. Its totient is φ = 599040.

The previous prime is 2113843. The next prime is 2113873. The reversal of 2113848 is 8483112.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13386 + ... + 13542.

22113848 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 2113848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327480).

2113848 is an abundant number, since it is smaller than the sum of its proper divisors (4541112).

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

2113848 is a wasteful number, since it uses less digits than its factorization.

2113848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 190 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 2113848 is about 1453.9078375193. The cubic root of 2113848 is about 128.3387835245.

The spelling of 2113848 in words is "two million, one hundred thirteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 157 187 198 204 264 306 314 374 396 408 471 561 612 628 748 792 942 1122 1224 1256 1413 1496 1683 1727 1884 2244 2669 2826 3366 3454 3768 4488 5181 5338 5652 6732 6908 8007 10362 10676 11304 13464 13816 15543 16014 20724 21352 24021 29359 31086 32028 41448 48042 58718 62172 64056 88077 96084 117436 124344 176154 192168 234872 264231 352308 528462 704616 1056924 2113848