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2033668 = 2271337151
BaseRepresentation
bin111110000100000000100
310211022200001
413300200010
51010034133
6111331044
723200030
oct7604004
93738601
102033668
111169a1a
12820a84
13562870
143ad1c0
152a287d
hex1f0804

2033668 has 48 divisors (see below), whose sum is σ = 4528384. Its totient is φ = 777600.

The previous prime is 2033657. The next prime is 2033677. The reversal of 2033668 is 8663302.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13393 + ... + 13543.

22033668 is an apocalyptic number.

2033668 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 2033668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264192).

2033668 is an abundant number, since it is smaller than the sum of its proper divisors (2494716).

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

2033668 is a wasteful number, since it uses less digits than its factorization.

2033668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2033668 is about 1426.0673195891. The cubic root of 2033668 is about 126.6951582569.

It can be divided in two parts, 2033 and 668, that added together give a triangular number (2701 = T73).

The spelling of 2033668 in words is "two million, thirty-three thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 148 151 182 259 302 364 481 518 604 962 1036 1057 1924 1963 2114 3367 3926 4228 5587 6734 7852 11174 13468 13741 22348 27482 39109 54964 72631 78218 145262 156436 290524 508417 1016834 2033668