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2097720 = 233255827
BaseRepresentation
bin1000000000001000111000
310221120112100
420000020320
51014111340
6112543400
723554542
oct10001070
93846470
102097720
111203059
12851b60
13585a71
143c8692
152b6830
hex200238

2097720 has 48 divisors (see below), whose sum is σ = 6818760. Its totient is φ = 559296.

The previous prime is 2097713. The next prime is 2097727. The reversal of 2097720 is 277902.

It is an interprime number because it is at equal distance from previous prime (2097713) and next prime (2097727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097727) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2554 + ... + 3273.

22097720 is an apocalyptic number.

2097720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2097720 is an abundant number, since it is smaller than the sum of its proper divisors (4721040).

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

2097720 is a wasteful number, since it uses less digits than its factorization.

2097720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 2097720 is about 1448.3507862393. The cubic root of 2097720 is about 128.0115549465.

The spelling of 2097720 in words is "two million, ninety-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5827 11654 17481 23308 29135 34962 46616 52443 58270 69924 87405 104886 116540 139848 174810 209772 233080 262215 349620 419544 524430 699240 1048860 2097720