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2114752380 = 2235133318191
BaseRepresentation
bin111111000001100…
…1000111101111100
312110101021112220020
41332003020331330
513312334034010
6545502252140
7103256045556
oct17603107574
95411245806
102114752380
119957a4844
124b0287050
13279184890
14160c0a4d6
15c59cd470
hex7e0c8f7c

2114752380 has 96 divisors (see below), whose sum is σ = 6396837888. Its totient is φ = 518918400.

The previous prime is 2114752369. The next prime is 2114752429. The reversal of 2114752380 is 832574112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254085 + ... + 262275.

It is an arithmetic number, because the mean of its divisors is an integer number (66633728).

Almost surely, 22114752380 is an apocalyptic number.

2114752380 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 2114752380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198418944).

2114752380 is an abundant number, since it is smaller than the sum of its proper divisors (4282085508).

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

2114752380 is a wasteful number, since it uses less digits than its factorization.

2114752380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8547 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2114752380 is about 45986.4369135074. The cubic root of 2114752380 is about 1283.5708355998.

The spelling of 2114752380 in words is "two billion, one hundred fourteen million, seven hundred fifty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 331 390 662 780 993 1324 1655 1986 3310 3972 4303 4965 6620 8191 8606 9930 12909 16382 17212 19860 21515 24573 25818 32764 40955 43030 49146 51636 64545 81910 86060 98292 106483 122865 129090 163820 212966 245730 258180 319449 425932 491460 532415 638898 1064830 1277796 1597245 2129660 2711221 3194490 5422442 6388980 8133663 10844884 13556105 16267326 27112210 32534652 35245873 40668315 54224420 70491746 81336630 105737619 140983492 162673260 176229365 211475238 352458730 422950476 528688095 704917460 1057376190 2114752380