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2180046240 = 253251513921
BaseRepresentation
bin1000000111110000…
…1101110110100000
312121221010211020100
42001330031312200
513431042434430
61000153542400
7105011041641
oct20174156640
95557124210
102180046240
11a19641009
1250a114a00
132898662b8
141697656c8
15cb5c9960
hex81f0dda0

2180046240 has 72 divisors (see below), whose sum is σ = 7439412708. Its totient is φ = 581345280.

The previous prime is 2180046227. The next prime is 2180046241. The reversal of 2180046240 is 426400812.

It can be written as a sum of positive squares in 2 ways, for example, as 1803531024 + 376515216 = 42468^2 + 19404^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2180046241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 755521 + ... + 758400.

Almost surely, 22180046240 is an apocalyptic number.

2180046240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2180046240 is an abundant number, since it is smaller than the sum of its proper divisors (5259366468).

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

2180046240 is a wasteful number, since it uses less digits than its factorization.

2180046240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513942 (or 1513931 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2180046240 is about 46690.9652930843. The cubic root of 2180046240 is about 1296.6474245780.

The spelling of 2180046240 in words is "two billion, one hundred eighty million, forty-six 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 1513921 3027842 4541763 6055684 7569605 9083526 12111368 13625289 15139210 18167052 22708815 24222736 27250578 30278420 36334104 45417630 48445472 54501156 60556840 68126445 72668208 90835260 109002312 121113680 136252890 145336416 181670520 218004624 242227360 272505780 363341040 436009248 545011560 726682080 1090023120 2180046240