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2079318240 = 253251443971
BaseRepresentation
bin111101111101111…
…1110000011100000
312100220121022101200
41323323332003200
513224301140430
6542155001200
7102345625206
oct17373760340
95326538350
102079318240
119777a262a
124a0439200
13271a2932c
1415a225076
15c282e460
hex7befe0e0

2079318240 has 72 divisors (see below), whose sum is σ = 7095678408. Its totient is φ = 554484480.

The previous prime is 2079318223. The next prime is 2079318259. The reversal of 2079318240 is 428139702.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2079318195 and 2079318204.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 720546 + ... + 723425.

It is an arithmetic number, because the mean of its divisors is an integer number (98551089).

Almost surely, 22079318240 is an apocalyptic number.

2079318240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2079318240 is an abundant number, since it is smaller than the sum of its proper divisors (5016360168).

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

2079318240 is a wasteful number, since it uses less digits than its factorization.

2079318240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443992 (or 1443981 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2079318240 is about 45599.5421029641. The cubic root of 2079318240 is about 1276.3613786300.

The spelling of 2079318240 in words is "two billion, seventy-nine million, three hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1443971 2887942 4331913 5775884 7219855 8663826 11551768 12995739 14439710 17327652 21659565 23103536 25991478 28879420 34655304 43319130 46207072 51982956 57758840 64978695 69310608 86638260 103965912 115517680 129957390 138621216 173276520 207931824 231035360 259914780 346553040 415863648 519829560 693106080 1039659120 2079318240