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2088968 = 2372732
BaseRepresentation
bin111111110000000001000
310221010112012
413332000020
51013321333
6112435052
723520200
oct7760010
93833465
102088968
1111a7522
12848a88
13581a9b
143c5400
152b3e48
hex1fe008

2088968 has 36 divisors (see below), whose sum is σ = 4619565. Its totient is φ = 883008.

The previous prime is 2088953. The next prime is 2088971. The reversal of 2088968 is 8698802.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2079364 + 9604 = 1442^2 + 98^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1022.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28580 + ... + 28652.

22088968 is an apocalyptic number.

2088968 is a gapful number since it is divisible by the number (28) 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 2088968

2088968 is an abundant number, since it is smaller than the sum of its proper divisors (2530597).

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

2088968 is an equidigital number, since it uses as much as digits as its factorization.

2088968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 2088968 is about 1445.3262607453. The cubic root of 2088968 is about 127.8332790327.

It can be divided in two parts, 20 and 88968, that added together give a palindrome (88988).

The spelling of 2088968 in words is "two million, eighty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 146 196 292 392 511 584 1022 2044 3577 4088 5329 7154 10658 14308 21316 28616 37303 42632 74606 149212 261121 298424 522242 1044484 2088968