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2054688 = 253171259
BaseRepresentation
bin111110101101000100000
310212101111120
413311220200
51011222223
6112012240
723315226
oct7655040
93771446
102054688
111183799
12831080
1356c2bc
143b6b16
152a8be3
hex1f5a20

2054688 has 48 divisors (see below), whose sum is σ = 5715360. Its totient is φ = 644096.

The previous prime is 2054687. The next prime is 2054707. The reversal of 2054688 is 8864502.

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

It is not an unprimeable number, because it can be changed into a prime (2054687) 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, 1003 + ... + 2261.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

22054688 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 2054688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857680).

2054688 is an abundant number, since it is smaller than the sum of its proper divisors (3660672).

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

2054688 is a wasteful number, since it uses less digits than its factorization.

2054688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2054688 is about 1433.4182920557. The cubic root of 2054688 is about 127.1301701290.

The spelling of 2054688 in words is "two million, fifty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1259 1632 2518 3777 5036 7554 10072 15108 20144 21403 30216 40288 42806 60432 64209 85612 120864 128418 171224 256836 342448 513672 684896 1027344 2054688