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2130020040 = 233559929633
BaseRepresentation
bin111111011110101…
…1000011011001000
312111110000020012010
41332331120123020
513330241120130
6551205415520
7103532604651
oct17675303310
95443006163
102130020040
119a3382645
124b540a5a0
1327c39bcb5
14162c62528
15c6ee70b0
hex7ef586c8

2130020040 has 64 divisors (see below), whose sum is σ = 6400944000. Its totient is φ = 567037952.

The previous prime is 2130020017. The next prime is 2130020059. The reversal of 2130020040 is 400200312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2130019998 and 2130020025.

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, 57064 + ... + 86696.

It is an arithmetic number, because the mean of its divisors is an integer number (100014750).

Almost surely, 22130020040 is an apocalyptic number.

2130020040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130020040 is an abundant number, since it is smaller than the sum of its proper divisors (4270923960).

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

2130020040 is a wasteful number, since it uses less digits than its factorization.

2130020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30246 (or 30242 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2130020040 is about 46152.1401453930. The cubic root of 2130020040 is about 1286.6523863336.

Adding to 2130020040 its reverse (400200312), we get a palindrome (2530220352).

The spelling of 2130020040 in words is "two billion, one hundred thirty million, twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 599 1198 1797 2396 2995 3594 4792 5990 7188 8985 11980 14376 17970 23960 29633 35940 59266 71880 88899 118532 148165 177798 237064 296330 355596 444495 592660 711192 888990 1185320 1777980 3555960 17750167 35500334 53250501 71000668 88750835 106501002 142001336 177501670 213002004 266252505 355003340 426004008 532505010 710006680 1065010020 2130020040