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2413490280 = 2335234192087
BaseRepresentation
bin1000111111011010…
…1111000001101000
320020012102000020220
42033312233001220
514420323142110
61035253250040
7113544220545
oct21766570150
96205360226
102413490280
111029396a73
12574333920
132c6030076
1418c771bcc
15e1d3d370
hex8fdaf068

2413490280 has 128 divisors (see below), whose sum is σ = 7576934400. Its totient is φ = 613851392.

The previous prime is 2413490269. The next prime is 2413490293. The reversal of 2413490280 is 820943142.

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, 1155397 + ... + 1157483.

It is an arithmetic number, because the mean of its divisors is an integer number (59194800).

Almost surely, 22413490280 is an apocalyptic number.

2413490280 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 2413490280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788467200).

2413490280 is an abundant number, since it is smaller than the sum of its proper divisors (5163444120).

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

2413490280 is a wasteful number, since it uses less digits than its factorization.

2413490280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2413490280 is about 49127.2865116729. The cubic root of 2413490280 is about 1341.3697807060.

The spelling of 2413490280 in words is "two billion, four hundred thirteen million, four hundred ninety thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 419 460 552 690 838 920 1257 1380 1676 2087 2095 2514 2760 3352 4174 4190 5028 6261 6285 8348 8380 9637 10056 10435 12522 12570 16696 16760 19274 20870 25044 25140 28911 31305 38548 41740 48001 48185 50088 50280 57822 62610 77096 83480 96002 96370 115644 125220 144003 144555 192004 192740 231288 240005 250440 288006 289110 384008 385480 480010 576012 578220 720015 874453 960020 1152024 1156440 1440030 1748906 1920040 2623359 2880060 3497812 4372265 5246718 5760120 6995624 8744530 10493436 13116795 17489060 20112419 20986872 26233590 34978120 40224838 52467180 60337257 80449676 100562095 104934360 120674514 160899352 201124190 241349028 301686285 402248380 482698056 603372570 804496760 1206745140 2413490280