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2555120520 = 2332533721061
BaseRepresentation
bin1001100001001100…
…0000101110001000
320121001220120102100
42120103000232020
520213102324040
61101313033400
7120214110651
oct23023005610
96531816370
102555120520
1110a1331957
125b3855860
1331948b444
141a34bc528
15ee4b7b30
hex984c0b88

2555120520 has 96 divisors (see below), whose sum is σ = 8329178520. Its totient is φ = 679311360.

The previous prime is 2555120483. The next prime is 2555120563. The reversal of 2555120520 is 250215552.

It can be written as a sum of positive squares in 4 ways, for example, as 2420049636 + 135070884 = 49194^2 + 11622^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 110790 + ... + 131850.

Almost surely, 22555120520 is an apocalyptic number.

2555120520 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 2555120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164589260).

2555120520 is an abundant number, since it is smaller than the sum of its proper divisors (5774058000).

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

2555120520 is a wasteful number, since it uses less digits than its factorization.

2555120520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21415 (or 21408 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 2555120520 is about 50548.1999679514. The cubic root of 2555120520 is about 1367.1110593962. Note that the first 3 decimals are identical.

The spelling of 2555120520 in words is "two billion, five hundred fifty-five million, one hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 337 360 674 1011 1348 1685 2022 2696 3033 3370 4044 5055 6066 6740 8088 10110 12132 13480 15165 20220 21061 24264 30330 40440 42122 60660 63183 84244 105305 121320 126366 168488 189549 210610 252732 315915 379098 421220 505464 631830 758196 842440 947745 1263660 1516392 1895490 2527320 3790980 7097557 7581960 14195114 21292671 28390228 35487785 42585342 56780456 63878013 70975570 85170684 106463355 127756026 141951140 170341368 212926710 255512052 283902280 319390065 425853420 511024104 638780130 851706840 1277560260 2555120520