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2072750920 = 235149457761
BaseRepresentation
bin111101110001011…
…1010101101001000
312100110020122201121
41323202322231020
513221111012140
6541402125024
7102236043412
oct17342725510
95313218647
102072750920
11974017499
1249a1b0774
1327056a046
141593d59b2
15c1e8364a
hex7b8bab48

2072750920 has 64 divisors (see below), whose sum is σ = 4711446000. Its totient is φ = 820654080.

The previous prime is 2072750917. The next prime is 2072750921. The reversal of 2072750920 is 290572702.

It can be written as a sum of positive squares in 8 ways, for example, as 222546724 + 1850204196 = 14918^2 + 43014^2 .

It is not an unprimeable number, because it can be changed into a prime (2072750921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2723340 + ... + 2724100.

Almost surely, 22072750920 is an apocalyptic number.

2072750920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2072750920 is an abundant number, since it is smaller than the sum of its proper divisors (2638695080).

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

2072750920 is a wasteful number, since it uses less digits than its factorization.

2072750920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 2072750920 is about 45527.4743424232. The cubic root of 2072750920 is about 1275.0162079190.

The spelling of 2072750920 in words is "two billion, seventy-two million, seven hundred fifty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 149 298 457 596 745 761 914 1192 1490 1522 1828 2285 2980 3044 3656 3805 4570 5960 6088 7610 9140 15220 18280 30440 68093 113389 136186 226778 272372 340465 347777 453556 544744 566945 680930 695554 907112 1133890 1361860 1391108 1738885 2267780 2723720 2782216 3477770 4535560 6955540 13911080 51818773 103637546 207275092 259093865 414550184 518187730 1036375460 2072750920