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2141573840 = 245723916001
BaseRepresentation
bin111111110100101…
…1101001011010000
312112020202020000122
41333221131023100
513341220330330
6552301205412
7104033035340
oct17751351320
95466666018
102141573840
119a995413a
124b9260868
132818b5b73
141645ccd20
15c802a5e5
hex7fa5d2d0

2141573840 has 80 divisors (see below), whose sum is σ = 5714634240. Its totient is φ = 731136000.

The previous prime is 2141573831. The next prime is 2141573867. The reversal of 2141573840 is 483751412.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2141573840.

It is a congruent number.

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, 125840 + ... + 141840.

It is an arithmetic number, because the mean of its divisors is an integer number (71432928).

Almost surely, 22141573840 is an apocalyptic number.

2141573840 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 2141573840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857317120).

2141573840 is an abundant number, since it is smaller than the sum of its proper divisors (3573060400).

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

2141573840 is a wasteful number, since it uses less digits than its factorization.

2141573840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16260 (or 16254 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 2141573840 is about 46277.1416576262. The cubic root of 2141573840 is about 1288.9745752035.

The spelling of 2141573840 in words is "two billion, one hundred forty-one million, five hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 239 280 478 560 956 1195 1673 1912 2390 3346 3824 4780 6692 8365 9560 13384 16001 16730 19120 26768 32002 33460 64004 66920 80005 112007 128008 133840 160010 224014 256016 320020 448028 560035 640040 896056 1120070 1280080 1792112 2240140 3824239 4480280 7648478 8960560 15296956 19121195 26769673 30593912 38242390 53539346 61187824 76484780 107078692 133848365 152969560 214157384 267696730 305939120 428314768 535393460 1070786920 2141573840