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2054680 = 235311657
BaseRepresentation
bin111110101101000011000
310212101111021
413311220120
51011222210
6112012224
723315215
oct7655030
93771437
102054680
111183791
12831074
1356c2b4
143b6b0c
152a8bda
hex1f5a18

2054680 has 32 divisors (see below), whose sum is σ = 4775040. Its totient is φ = 794880.

The previous prime is 2054639. The next prime is 2054687. The reversal of 2054680 is 864502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054687) by changing a digit.

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, 412 + ... + 2068.

It is an arithmetic number, because the mean of its divisors is an integer number (149220).

22054680 is an apocalyptic number.

2054680 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 2054680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387520).

2054680 is an abundant number, since it is smaller than the sum of its proper divisors (2720360).

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

2054680 is a wasteful number, since it uses less digits than its factorization.

2054680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2054680 is about 1433.4155015208. The cubic root of 2054680 is about 127.1300051335.

The spelling of 2054680 in words is "two million, fifty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1657 3314 6628 8285 13256 16570 33140 51367 66280 102734 205468 256835 410936 513670 1027340 2054680