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2120788040 = 235759128377
BaseRepresentation
bin111111001101000…
…1010100001001000
312110210122012021012
41332122022201020
513320410204130
6550235503052
7103361254340
oct17632124110
95423565235
102120788040
11999147498
124b22b7a88
1327a4b8b87
1416193bd20
15c62c1995
hex7e68a848

2120788040 has 64 divisors (see below), whose sum is σ = 5545929600. Its totient is φ = 714797568.

The previous prime is 2120787971. The next prime is 2120788069. The reversal of 2120788040 is 408870212.

It is a junction number, because it is equal to n+sod(n) for n = 2120787988 and 2120788006.

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, 47669 + ... + 80708.

It is an arithmetic number, because the mean of its divisors is an integer number (86655150).

Almost surely, 22120788040 is an apocalyptic number.

2120788040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120788040 is an abundant number, since it is smaller than the sum of its proper divisors (3425141560).

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

2120788040 is a wasteful number, since it uses less digits than its factorization.

2120788040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128454 (or 128450 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 2120788040 is about 46052.0145053395. The cubic root of 2120788040 is about 1284.7908111280.

The spelling of 2120788040 in words is "two billion, one hundred twenty million, seven hundred eighty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 118 140 236 280 295 413 472 590 826 1180 1652 2065 2360 3304 4130 8260 16520 128377 256754 513508 641885 898639 1027016 1283770 1797278 2567540 3594556 4493195 5135080 7189112 7574243 8986390 15148486 17972780 30296972 35945560 37871215 53019701 60593944 75742430 106039402 151484860 212078804 265098505 302969720 424157608 530197010 1060394020 2120788040