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2161920 = 2835563
BaseRepresentation
bin1000001111110100000000
311001211121010
420033310000
51023140140
6114200520
724242655
oct10176400
94054533
102161920
111247312
12883140
135a9057
14403c2c
152ca880
hex20fd00

2161920 has 72 divisors (see below), whose sum is σ = 6916896. Its totient is φ = 575488.

The previous prime is 2161919. The next prime is 2161927. The reversal of 2161920 is 291612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161927) 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, 3559 + ... + 4121.

It is an arithmetic number, because the mean of its divisors is an integer number (96068).

22161920 is an apocalyptic number.

2161920 is a gapful number since it is divisible by the number (20) 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 2161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458448).

2161920 is an abundant number, since it is smaller than the sum of its proper divisors (4754976).

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

2161920 is an equidigital number, since it uses as much as digits as its factorization.

2161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2161920 is about 1470.3468978442. The cubic root of 2161920 is about 129.3043711202.

It can be divided in two parts, 2161 and 920, that added together give a triangular number (3081 = T78).

The spelling of 2161920 in words is "two million, one hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 563 640 768 960 1126 1280 1689 1920 2252 2815 3378 3840 4504 5630 6756 8445 9008 11260 13512 16890 18016 22520 27024 33780 36032 45040 54048 67560 72064 90080 108096 135120 144128 180160 216192 270240 360320 432384 540480 720640 1080960 2161920