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2105257320 = 2332529201653
BaseRepresentation
bin111110101111011…
…1010110101101000
312102201102011010100
41331132322311220
513302421213240
6544522545400
7103112251305
oct17536726550
95381364110
102105257320
119903a9a91
124a9068260
1327720baba
1415d8580ac
15c4c54e30
hex7d7bad68

2105257320 has 96 divisors (see below), whose sum is σ = 7078055400. Its totient is φ = 542040576.

The previous prime is 2105257309. The next prime is 2105257331. The reversal of 2105257320 is 237525012.

2105257320 is a `hidden beast` number, since 21 + 0 + 52 + 573 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2105257309) and next prime (2105257331).

It can be written as a sum of positive squares in 4 ways, for example, as 958893156 + 1146364164 = 30966^2 + 33858^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90387 + ... + 111266.

Almost surely, 22105257320 is an apocalyptic number.

2105257320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105257320 is an abundant number, since it is smaller than the sum of its proper divisors (4972798080).

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

2105257320 is a wasteful number, since it uses less digits than its factorization.

2105257320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201699 (or 201692 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2105257320 is about 45883.0831570852. The cubic root of 2105257320 is about 1281.6469116682.

The spelling of 2105257320 in words is "two billion, one hundred five million, two hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 201653 403306 604959 806612 1008265 1209918 1613224 1814877 2016530 2419836 3024795 3629754 4033060 4839672 5847937 6049590 7259508 8066120 9074385 11695874 12099180 14519016 17543811 18148770 23391748 24198360 29239685 35087622 36297540 46783496 52631433 58479370 70175244 72595080 87719055 105262866 116958740 140350488 175438110 210525732 233917480 263157165 350876220 421051464 526314330 701752440 1052628660 2105257320