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2097840 = 24358741
BaseRepresentation
bin1000000000001010110000
310221120200210
420000022300
51014112330
6112544120
723555103
oct10001260
93846623
102097840
111203158
12852040
13585b34
143c873a
152b68b0
hex2002b0

2097840 has 40 divisors (see below), whose sum is σ = 6504048. Its totient is φ = 559360.

The previous prime is 2097833. The next prime is 2097857. The reversal of 2097840 is 487902.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 221 + 0 + 92 + 73 + 8 + 44 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2097798 and 2097807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4131 + ... + 4610.

22097840 is an apocalyptic number.

2097840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2097840 is an abundant number, since it is smaller than the sum of its proper divisors (4406208).

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

2097840 is a wasteful number, since it uses less digits than its factorization.

2097840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8757 (or 8751 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2097840 is about 1448.3922120752. The cubic root of 2097840 is about 128.0139958654.

The spelling of 2097840 in words is "two million, ninety-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8741 17482 26223 34964 43705 52446 69928 87410 104892 131115 139856 174820 209784 262230 349640 419568 524460 699280 1048920 2097840