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2097024 = 27343127
BaseRepresentation
bin111111111111110000000
310221112120120
413333332000
51014101044
6112540240
723552526
oct7777600
93845516
102097024
111202586
12851680
13585657
143c8316
152b6519
hex1fff80

2097024 has 64 divisors (see below), whose sum is σ = 5744640. Its totient is φ = 677376.

The previous prime is 2097023. The next prime is 2097031. The reversal of 2097024 is 4207902.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2096985 and 2097003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097023) 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, 16449 + ... + 16575.

It is an arithmetic number, because the mean of its divisors is an integer number (89760).

22097024 is an apocalyptic number.

2097024 is a gapful number since it is divisible by the number (24) 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 2097024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872320).

2097024 is an abundant number, since it is smaller than the sum of its proper divisors (3647616).

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

2097024 is a wasteful number, since it uses less digits than its factorization.

2097024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2097024 is about 1448.1104930219. The cubic root of 2097024 is about 127.9973957803.

The spelling of 2097024 in words is "two million, ninety-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 127 128 129 172 192 254 258 344 381 384 508 516 688 762 1016 1032 1376 1524 2032 2064 2752 3048 4064 4128 5461 5504 6096 8128 8256 10922 12192 16256 16383 16512 21844 24384 32766 43688 48768 65532 87376 131064 174752 262128 349504 524256 699008 1048512 2097024