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2107840 = 2657941
BaseRepresentation
bin1000000010100111000000
310222002102011
420002213000
51014422330
6113102304
723626210
oct10024700
93862364
102107840
11120a719
12857994
1358a557
143cc240
152b982a
hex2029c0

2107840 has 56 divisors (see below), whose sum is σ = 5742432. Its totient is φ = 721920.

The previous prime is 2107837. The next prime is 2107849. The reversal of 2107840 is 487012.

2107840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107849) 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, 1770 + ... + 2710.

22107840 is an apocalyptic number.

2107840 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 2107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871216).

2107840 is an abundant number, since it is smaller than the sum of its proper divisors (3634592).

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

2107840 is an equidigital number, since it uses as much as digits as its factorization.

2107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 2107840 is about 1451.8402115935. The cubic root of 2107840 is about 128.2170795559.

The spelling of 2107840 in words is "two million, one hundred seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 941 1120 1882 2240 3764 4705 6587 7528 9410 13174 15056 18820 26348 30112 32935 37640 52696 60224 65870 75280 105392 131740 150560 210784 263480 301120 421568 526960 1053920 2107840