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2054520 = 2332513439
BaseRepresentation
bin111110101100101111000
310212101021100
413311211320
51011221040
6112011400
723314566
oct7654570
93771240
102054520
111183656
12830b60
1356c1c0
143b6a36
152a8b30
hex1f5978

2054520 has 96 divisors (see below), whose sum is σ = 7207200. Its totient is φ = 504576.

The previous prime is 2054519. The next prime is 2054537. The reversal of 2054520 is 254502.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2054493 and 2054502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4461 + ... + 4899.

It is an arithmetic number, because the mean of its divisors is an integer number (75075).

22054520 is an apocalyptic number.

2054520 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 2054520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603600).

2054520 is an abundant number, since it is smaller than the sum of its proper divisors (5152680).

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

2054520 is a wasteful number, since it uses less digits than its factorization.

2054520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2054520 is about 1433.3596896802. The cubic root of 2054520 is about 127.1267051340.

Subtracting from 2054520 its sum of digits (18), we obtain a palindrome (2054502).

The spelling of 2054520 in words is "two million, fifty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 439 468 520 585 780 878 936 1170 1317 1560 1756 2195 2340 2634 3512 3951 4390 4680 5268 5707 6585 7902 8780 10536 11414 13170 15804 17121 17560 19755 22828 26340 28535 31608 34242 39510 45656 51363 52680 57070 68484 79020 85605 102726 114140 136968 158040 171210 205452 228280 256815 342420 410904 513630 684840 1027260 2054520