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2040960 = 27351063
BaseRepresentation
bin111110010010010000000
310211200200010
413302102000
51010302320
6111424520
723230215
oct7622200
93750603
102040960
111174449
12825140
13565c8c
143b1b0c
152a4ae0
hex1f2480

2040960 has 64 divisors (see below), whose sum is σ = 6511680. Its totient is φ = 543744.

The previous prime is 2040959. The next prime is 2040967. The reversal of 2040960 is 690402.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2040967) 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, 1389 + ... + 2451.

It is an arithmetic number, because the mean of its divisors is an integer number (101745).

22040960 is an apocalyptic number.

2040960 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 2040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255840).

2040960 is an abundant number, since it is smaller than the sum of its proper divisors (4470720).

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

2040960 is a wasteful number, since it uses less digits than its factorization.

2040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2040960 is about 1428.6217134007. The cubic root of 2040960 is about 126.8464053430.

The spelling of 2040960 in words is "two million, forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1063 1920 2126 3189 4252 5315 6378 8504 10630 12756 15945 17008 21260 25512 31890 34016 42520 51024 63780 68032 85040 102048 127560 136064 170080 204096 255120 340160 408192 510240 680320 1020480 2040960