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2079284740 = 22513379599
BaseRepresentation
bin111101111101111…
…0101111000000100
312100220112121102221
41323323311320010
513224244102430
6542154142124
7102345425431
oct17373657004
95326477387
102079284740
1197777a445
124a0421944
13271a17000
1415a216b88
15c282457a
hex7bef5e04

2079284740 has 96 divisors (see below), whose sum is σ = 4798080000. Its totient is φ = 756752256.

The previous prime is 2079284729. The next prime is 2079284749. The reversal of 2079284740 is 474829702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079284749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3470961 + ... + 3471559.

It is an arithmetic number, because the mean of its divisors is an integer number (49980000).

Almost surely, 22079284740 is an apocalyptic number.

2079284740 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 2079284740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399040000).

2079284740 is an abundant number, since it is smaller than the sum of its proper divisors (2718795260).

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

2079284740 is a wasteful number, since it uses less digits than its factorization.

2079284740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 2079284740 is about 45599.1747732347. The cubic root of 2079284740 is about 1276.3545240859.

The spelling of 2079284740 in words is "two billion, seventy-nine million, two hundred eighty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 169 260 316 338 395 599 676 790 845 1027 1198 1580 1690 2054 2197 2396 2995 3380 4108 4394 5135 5990 7787 8788 10270 10985 11980 13351 15574 20540 21970 26702 31148 38935 43940 47321 53404 66755 77870 94642 101231 133510 155740 173563 189284 202462 236605 267020 347126 404924 473210 506155 615173 694252 867815 946420 1012310 1230346 1316003 1735630 2024620 2460692 2632006 3075865 3471260 5264012 6151730 6580015 7997249 12303460 13160030 15994498 26320060 31988996 39986245 79972490 103964237 159944980 207928474 415856948 519821185 1039642370 2079284740