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2056632240 = 243513659177
BaseRepresentation
bin111101010010101…
…1011011110110000
312022022220202001110
41322211123132300
513202444212430
6540024433320
7101652041235
oct17245333660
95268822043
102056632240
11965a08273
12494918840
1326a115470
141571db78c
15c084c7b0
hex7a95b7b0

2056632240 has 80 divisors (see below), whose sum is σ = 6865998048. Its totient is φ = 506247168.

The previous prime is 2056632211. The next prime is 2056632247. The reversal of 2056632240 is 422366502.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 2056632198 and 2056632207.

It is not an unprimeable number, because it can be changed into a prime (2056632247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326469 + ... + 332708.

Almost surely, 22056632240 is an apocalyptic number.

2056632240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2056632240 is an abundant number, since it is smaller than the sum of its proper divisors (4809365808).

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

2056632240 is a wasteful number, since it uses less digits than its factorization.

2056632240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659206 (or 659200 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2056632240 is about 45350.1073868629. The cubic root of 2056632240 is about 1271.7025628661.

Adding to 2056632240 its reverse (422366502), we get a palindrome (2478998742).

The spelling of 2056632240 in words is "two billion, fifty-six million, six hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 659177 1318354 1977531 2636708 3295885 3955062 5273416 6591770 7910124 8569301 9887655 10546832 13183540 15820248 17138602 19775310 25707903 26367080 31640496 34277204 39550620 42846505 51415806 52734160 68554408 79101240 85693010 102831612 128539515 137108816 158202480 171386020 205663224 257079030 342772040 411326448 514158060 685544080 1028316120 2056632240