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2113960 = 235411289
BaseRepresentation
bin1000000100000110101000
310222101210211
420010012220
51020121320
6113150504
723653102
oct10040650
93871724
102113960
111214282
1285b434
13590284
143d0572
152bb55a
hex2041a8

2113960 has 32 divisors (see below), whose sum is σ = 4876200. Its totient is φ = 824320.

The previous prime is 2113957. The next prime is 2113973. The reversal of 2113960 is 693112.

It can be written as a sum of positive squares in 4 ways, for example, as 1483524 + 630436 = 1218^2 + 794^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 996 + ... + 2284.

22113960 is an apocalyptic number.

2113960 is a gapful number since it is divisible by the number (20) 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 2113960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438100).

2113960 is an abundant number, since it is smaller than the sum of its proper divisors (2762240).

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

2113960 is a wasteful number, since it uses less digits than its factorization.

2113960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 2113960 is about 1453.9463538934. The cubic root of 2113960 is about 128.3410501160.

The spelling of 2113960 in words is "two million, one hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1289 1640 2578 5156 6445 10312 12890 25780 51560 52849 105698 211396 264245 422792 528490 1056980 2113960