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2148016 = 241323449
BaseRepresentation
bin1000001100011010110000
311001010112011
420030122300
51022214031
6114012304
724154303
oct10143260
94033464
102148016
111237922
12877094
135a2920
143dcb3a
152c66b1
hex20c6b0

2148016 has 40 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 946176.

The previous prime is 2148011. The next prime is 2148019. The reversal of 2148016 is 6108412.

It is a super-2 number, since 2×21480162 = 9227945472512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2148011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4560 + ... + 5008.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

22148016 is an apocalyptic number.

2148016 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 2148016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

2148016 is an abundant number, since it is smaller than the sum of its proper divisors (2539184).

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

2148016 is a wasteful number, since it uses less digits than its factorization.

2148016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 2148016 is about 1465.6111353289. The cubic root of 2148016 is about 129.0265754594.

The spelling of 2148016 in words is "two million, one hundred forty-eight thousand, sixteen".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 449 598 898 1196 1796 2392 3592 4784 5837 7184 10327 11674 20654 23348 41308 46696 82616 93392 134251 165232 268502 537004 1074008 2148016