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2073924 = 223437173
BaseRepresentation
bin111111010010101000100
310220100220000
413322111010
51012331144
6112241300
723425266
oct7722504
93810800
102073924
111197196
12840230
13577c98
143bdb36
152ae769
hex1fa544

2073924 has 60 divisors (see below), whose sum is σ = 5600364. Its totient is φ = 668736.

The previous prime is 2073923. The next prime is 2073937. The reversal of 2073924 is 4293702.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 202500 = 1368^2 + 450^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2073923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11902 + ... + 12074.

22073924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2073924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800182).

2073924 is an abundant number, since it is smaller than the sum of its proper divisors (3526440).

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

2073924 is a wasteful number, since it uses less digits than its factorization.

2073924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2073924 is about 1440.1124956058. The cubic root of 2073924 is about 127.5256695721.

The spelling of 2073924 in words is "two million, seventy-three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 173 222 324 333 346 444 519 666 692 999 1038 1332 1557 1998 2076 2997 3114 3996 4671 5994 6228 6401 9342 11988 12802 14013 18684 19203 25604 28026 38406 56052 57609 76812 115218 172827 230436 345654 518481 691308 1036962 2073924