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2629128 = 233109547
BaseRepresentation
bin1010000001111000001000
311221120111010
422001320020
51133113003
6132203520
731230045
oct12017010
94846433
102629128
111536337
12a695a0
137108c8
144c61cc
1536e003
hex281e08

2629128 has 16 divisors (see below), whose sum is σ = 6572880. Its totient is φ = 876368.

The previous prime is 2629127. The next prime is 2629129. The reversal of 2629128 is 8219262.

It is an interprime number because it is at equal distance from previous prime (2629127) and next prime (2629129).

It is a d-powerful number, because it can be written as 23 + 6 + 29 + 96 + 1 + 221 + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 2629095 and 2629104.

It is not an unprimeable number, because it can be changed into a prime (2629127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54750 + ... + 54797.

It is an arithmetic number, because the mean of its divisors is an integer number (410805).

22629128 is an apocalyptic number.

It is an amenable number.

2629128 is an abundant number, since it is smaller than the sum of its proper divisors (3943752).

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

2629128 is a wasteful number, since it uses less digits than its factorization.

2629128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109556 (or 109552 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 2629128 is about 1621.4586026168. The cubic root of 2629128 is about 138.0184810368.

The spelling of 2629128 in words is "two million, six hundred twenty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 109547 219094 328641 438188 657282 876376 1314564 2629128