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2873098240 = 2225137
BaseRepresentation
bin1010101101000000…
…0000000000000000
321102020020111211221
42223100000000000
521341003120430
61153032244424
7131124634465
oct25320000000
97366214757
102873098240
111244875261
12682240714
1336a31203c
141d381166c
1511c37857a
hexab400000

2873098240 has 92 divisors (see below), whose sum is σ = 6945766596. Its totient is φ = 1140850688.

The previous prime is 2873098223. The next prime is 2873098289. The reversal of 2873098240 is 428903782.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1358954496 + 1514143744 = 36864^2 + 38912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20971452 + ... + 20971588.

It is an arithmetic number, because the mean of its divisors is an integer number (75497463).

Almost surely, 22873098240 is an apocalyptic number.

2873098240 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 2873098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472883298).

2873098240 is an abundant number, since it is smaller than the sum of its proper divisors (4072668356).

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

2873098240 is an frugal number, since it uses more digits than its factorization.

2873098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 2873098240 is about 53601.2895367266. The cubic root of 2873098240 is about 1421.6198930901.

The spelling of 2873098240 in words is "two billion, eight hundred seventy-three million, ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 137 160 256 274 320 512 548 640 685 1024 1096 1280 1370 2048 2192 2560 2740 4096 4384 5120 5480 8192 8768 10240 10960 16384 17536 20480 21920 32768 35072 40960 43840 65536 70144 81920 87680 131072 140288 163840 175360 262144 280576 327680 350720 524288 561152 655360 701440 1048576 1122304 1310720 1402880 2097152 2244608 2621440 2805760 4194304 4489216 5242880 5611520 8978432 10485760 11223040 17956864 20971520 22446080 35913728 44892160 71827456 89784320 143654912 179568640 287309824 359137280 574619648 718274560 1436549120 2873098240