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2073008 = 24783223
BaseRepresentation
bin111111010000110110000
310220022122002
413322012300
51012314013
6112233132
723422520
oct7720660
93808562
102073008
111196533
1283b7a8
13577742
143bd680
152ae358
hex1fa1b0

2073008 has 40 divisors (see below), whose sum is σ = 4666368. Its totient is φ = 873792.

The previous prime is 2072977. The next prime is 2073011. The reversal of 2073008 is 8003702.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9185 + ... + 9407.

22073008 is an apocalyptic number.

2073008 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 2073008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333184).

2073008 is an abundant number, since it is smaller than the sum of its proper divisors (2593360).

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

2073008 is a wasteful number, since it uses less digits than its factorization.

2073008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2073008 is about 1439.7944297711. The cubic root of 2073008 is about 127.5068918484.

The spelling of 2073008 in words is "two million, seventy-three thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 223 332 446 581 664 892 1162 1328 1561 1784 2324 3122 3568 4648 6244 9296 12488 18509 24976 37018 74036 129563 148072 259126 296144 518252 1036504 2073008