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2083008 = 26319571
BaseRepresentation
bin111111100100011000000
310220211100110
413330203000
51013124013
6112351320
723463624
oct7744300
93824313
102083008
1111a2aa4
12845540
1357c165
143c3184
152b22c3
hex1fc8c0

2083008 has 56 divisors (see below), whose sum is σ = 5811520. Its totient is φ = 656640.

The previous prime is 2083001. The next prime is 2083009. The reversal of 2083008 is 8003802.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2083001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3363 + ... + 3933.

22083008 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 2083008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905760).

2083008 is an abundant number, since it is smaller than the sum of its proper divisors (3728512).

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

2083008 is a wasteful number, since it uses less digits than its factorization.

2083008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2083008 is about 1443.2629698014. The cubic root of 2083008 is about 127.7115902261.

It can be divided in two parts, 20 and 83008, that added together give a triangular number (83028 = T407).

The spelling of 2083008 in words is "two million, eighty-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 571 608 912 1142 1216 1713 1824 2284 3426 3648 4568 6852 9136 10849 13704 18272 21698 27408 32547 36544 43396 54816 65094 86792 109632 130188 173584 260376 347168 520752 694336 1041504 2083008