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2090976 = 25323947
BaseRepresentation
bin111111110011111100000
310221020021120
413332133200
51013402401
6112452240
723526066
oct7763740
93836246
102090976
1111a8a88
1284a080
13582984
143c6036
152b4836
hex1fe7e0

2090976 has 48 divisors (see below), whose sum is σ = 5733504. Its totient is φ = 665984.

The previous prime is 2090951. The next prime is 2090989. The reversal of 2090976 is 6790902.

2090976 = 4782 + 4792 + ... + 4862.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1735 + ... + 2681.

It is an arithmetic number, because the mean of its divisors is an integer number (119448).

22090976 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 2090976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866752).

2090976 is an abundant number, since it is smaller than the sum of its proper divisors (3642528).

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

2090976 is a wasteful number, since it uses less digits than its factorization.

2090976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 2090976 is about 1446.0207467391. The cubic root of 2090976 is about 127.8742254109.

The spelling of 2090976 in words is "two million, ninety thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 947 1104 1894 2208 2841 3788 5682 7576 11364 15152 21781 22728 30304 43562 45456 65343 87124 90912 130686 174248 261372 348496 522744 696992 1045488 2090976