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2074959280 = 245293672437
BaseRepresentation
bin111101110101101…
…0101110110110000
312100121101212000201
41323223111312300
513222142144110
6541521324544
7102263601652
oct17353256660
95317355021
102074959280
11975295689
1249aa96754
13270b61274
1415980c6d2
15c226cb3a
hex7bad5db0

2074959280 has 80 divisors (see below), whose sum is σ = 5006286720. Its totient is φ = 798852096.

The previous prime is 2074959233. The next prime is 2074959323. The reversal of 2074959280 is 829594702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2074959280.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 850222 + ... + 852658.

It is an arithmetic number, because the mean of its divisors is an integer number (62578584).

Almost surely, 22074959280 is an apocalyptic number.

2074959280 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 2074959280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503143360).

2074959280 is an abundant number, since it is smaller than the sum of its proper divisors (2931327440).

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

2074959280 is a wasteful number, since it uses less digits than its factorization.

2074959280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 2074959280 is about 45551.7209334620. The cubic root of 2074959280 is about 1275.4688584501.

The spelling of 2074959280 in words is "two billion, seventy-four million, nine hundred fifty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 367 464 580 734 1160 1468 1835 2320 2437 2936 3670 4874 5872 7340 9748 10643 12185 14680 19496 21286 24370 29360 38992 42572 48740 53215 70673 85144 97480 106430 141346 170288 194960 212860 282692 353365 425720 565384 706730 851440 894379 1130768 1413460 1788758 2826920 3577516 4471895 5653840 7155032 8943790 14310064 17887580 25936991 35775160 51873982 71550320 103747964 129684955 207495928 259369910 414991856 518739820 1037479640 2074959280