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2109376 = 26231433
BaseRepresentation
bin1000000010111111000000
310222011112001
420002333000
51020000001
6113113344
723633533
oct10027700
93864461
102109376
111210895
12858854
1358b169
143cca1a
152ba001
hex202fc0

2109376 has 28 divisors (see below), whose sum is σ = 4370832. Its totient is φ = 1008128.

The previous prime is 2109329. The next prime is 2109391. The reversal of 2109376 is 6739012.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 756 + ... + 2188.

22109376 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 2109376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185416).

2109376 is an abundant number, since it is smaller than the sum of its proper divisors (2261456).

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

2109376 is a wasteful number, since it uses less digits than its factorization.

2109376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 2109376 is about 1452.3690990929. The cubic root of 2109376 is about 128.2482162671.

It can be divided in two parts, 2109 and 376, that added together give a triangular number (2485 = T70).

The spelling of 2109376 in words is "two million, one hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1433 1472 2866 5732 11464 22928 32959 45856 65918 91712 131836 263672 527344 1054688 2109376