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2520045540 = 223356769653
BaseRepresentation
bin1001011000110100…
…1101011111100100
320111121220120121000
42112031031133210
520130112424130
61054021153300
7116310014355
oct22615153744
96447816530
102520045540
111083555571
125a3b5b830
1331212a50c
1419c98bd2c
15eb38a260
hex9634d7e4

2520045540 has 96 divisors (see below), whose sum is σ = 7957272960. Its totient is φ = 661972608.

The previous prime is 2520045533. The next prime is 2520045553. The reversal of 2520045540 is 455400252.

2520045540 is a `hidden beast` number, since 2 + 5 + 200 + 455 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1354 + ... + 71006.

It is an arithmetic number, because the mean of its divisors is an integer number (82888260).

Almost surely, 22520045540 is an apocalyptic number.

2520045540 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 2520045540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978636480).

2520045540 is an abundant number, since it is smaller than the sum of its proper divisors (5437227420).

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

2520045540 is a wasteful number, since it uses less digits than its factorization.

2520045540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69738 (or 69730 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2520045540 is about 50200.0551792525. The cubic root of 2520045540 is about 1360.8266204523.

Adding to 2520045540 its reverse (455400252), we get a palindrome (2975445792).

The spelling of 2520045540 in words is "two billion, five hundred twenty million, forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 3015 3618 4020 6030 7236 9045 12060 18090 36180 69653 139306 208959 278612 348265 417918 626877 696530 835836 1044795 1253754 1393060 1880631 2089590 2507508 3134385 3761262 4179180 4666751 6268770 7522524 9333502 9403155 12537540 14000253 18667004 18806310 23333755 28000506 37612620 42000759 46667510 56001012 70001265 84001518 93335020 126002277 140002530 168003036 210003795 252004554 280005060 420007590 504009108 630011385 840015180 1260022770 2520045540