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2123008 = 288293
BaseRepresentation
bin1000000110010100000000
310222212012221
420012110000
51020414013
6113300424
724021346
oct10062400
93885187
102123008
111220058
12864714
13594424
143d3996
152be08d
hex206500

2123008 has 18 divisors (see below), whose sum is σ = 4238234. Its totient is φ = 1061376.

The previous prime is 2122979. The next prime is 2123027. The reversal of 2123008 is 8003212.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1557504 + 565504 = 1248^2 + 752^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2122982 and 2123000.

It is a congruent number.

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 as a sum of consecutive naturals, namely, 3891 + ... + 4402.

22123008 is an apocalyptic number.

It is an amenable number.

2123008 is a deficient number, since it is larger than the sum of its proper divisors (2115226).

2123008 is an frugal number, since it uses more digits than its factorization.

2123008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8309 (or 8295 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2123008 is about 1457.0545631513. The cubic root of 2123008 is about 128.5238944801.

It can be divided in two parts, 2 and 123008, that multiplied together give a square (246016 = 4962).

The spelling of 2123008 in words is "two million, one hundred twenty-three thousand, eight".

Divisors: 1 2 4 8 16 32 64 128 256 8293 16586 33172 66344 132688 265376 530752 1061504 2123008