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2115376 = 24294797
BaseRepresentation
bin1000000100011100110000
310222110202021
420010130300
51020143001
6113201224
723660164
oct10043460
93873667
102115376
11121534a
12860214
13590b03
143d0ca4
152bbba1
hex204730

2115376 has 40 divisors (see below), whose sum is σ = 4374720. Its totient is φ = 989184.

The previous prime is 2115371. The next prime is 2115397. The reversal of 2115376 is 6735112.

It is a self number, because there is not a number n which added to its sum of digits gives 2115376.

It is not an unprimeable number, because it can be changed into a prime (2115371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21760 + ... + 21856.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

22115376 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 2115376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187360).

2115376 is an abundant number, since it is smaller than the sum of its proper divisors (2259344).

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

2115376 is a wasteful number, since it uses less digits than its factorization.

2115376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its digits is 1260, while the sum is 25.

The square root of 2115376 is about 1454.4332229429. The cubic root of 2115376 is about 128.3696994070.

Subtracting from 2115376 its product of digits (1260), we obtain a square (2114116 = 14542).

The spelling of 2115376 in words is "two million, one hundred fifteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 47 58 94 97 116 188 194 232 376 388 464 752 776 1363 1552 2726 2813 4559 5452 5626 9118 10904 11252 18236 21808 22504 36472 45008 72944 132211 264422 528844 1057688 2115376