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2095293120 = 26359722501
BaseRepresentation
bin111110011100011…
…1010001011000000
312102000122220210220
41330320322023000
513242343334440
6543525223040
7102631461204
oct17470721300
95360586726
102095293120
11985813808
124a5861a80
1327513061b
1415c3c2b04
15c3e378d0
hex7ce3a2c0

2095293120 has 112 divisors (see below), whose sum is σ = 6721437408. Its totient is φ = 552960000.

The previous prime is 2095293049. The next prime is 2095293143. The reversal of 2095293120 is 213925902.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81870 + ... + 104370.

It is an arithmetic number, because the mean of its divisors is an integer number (60012834).

Almost surely, 22095293120 is an apocalyptic number.

2095293120 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 2095293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360718704).

2095293120 is an abundant number, since it is smaller than the sum of its proper divisors (4626144288).

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

2095293120 is a wasteful number, since it uses less digits than its factorization.

2095293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22618 (or 22608 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 2095293120 is about 45774.3718689836. The cubic root of 2095293120 is about 1279.6216981003.

The spelling of 2095293120 in words is "two billion, ninety-five million, two hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 160 192 194 240 291 320 388 480 485 582 776 960 970 1164 1455 1552 1940 2328 2910 3104 3880 4656 5820 6208 7760 9312 11640 15520 18624 22501 23280 31040 45002 46560 67503 90004 93120 112505 135006 180008 225010 270012 337515 360016 450020 540024 675030 720032 900040 1080048 1350060 1440064 1800080 2160096 2182597 2700120 3600160 4320192 4365194 5400240 6547791 7200320 8730388 10800480 10912985 13095582 17460776 21600960 21825970 26191164 32738955 34921552 43651940 52382328 65477910 69843104 87303880 104764656 130955820 139686208 174607760 209529312 261911640 349215520 419058624 523823280 698431040 1047646560 2095293120