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2412069120 = 28325209381
BaseRepresentation
bin1000111111000101…
…0100000100000000
320020002201210210100
42033301110010000
514414442202440
61035203002400
7113526151326
oct21761240400
96202653710
102412069120
11102860625a
12573969400
132c5953246
1418c4c1d16
15e1b5c230
hex8fc54100

2412069120 has 108 divisors (see below), whose sum is σ = 8345547756. Its totient is φ = 643215360.

The previous prime is 2412069119. The next prime is 2412069193. The reversal of 2412069120 is 219602142.

It can be written as a sum of positive squares in 2 ways, for example, as 1204367616 + 1207701504 = 34704^2 + 34752^2 .

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 11 ways as a sum of consecutive naturals, for example, 93171 + ... + 116210.

Almost surely, 22412069120 is an apocalyptic number.

2412069120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2412069120 is an abundant number, since it is smaller than the sum of its proper divisors (5933478636).

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

2412069120 is a wasteful number, since it uses less digits than its factorization.

2412069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209408 (or 209391 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2412069120 is about 49112.8203221929. The cubic root of 2412069120 is about 1341.1064448801.

The spelling of 2412069120 in words is "two billion, four hundred twelve million, sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 209381 418762 628143 837524 1046905 1256286 1675048 1884429 2093810 2512572 3140715 3350096 3768858 4187620 5025144 6281430 6700192 7537716 8375240 9422145 10050288 12562860 13400384 15075432 16750480 18844290 20100576 25125720 26800768 30150864 33500960 37688580 40201152 50251440 53601536 60301728 67001920 75377160 80402304 100502880 120603456 134003840 150754320 160804608 201005760 241206912 268007680 301508640 402011520 482413824 603017280 804023040 1206034560 2412069120