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2130110440 = 235319971723
BaseRepresentation
bin111111011110110…
…1110011111101000
312111110011211012021
41332331232133220
513330302013230
6551211354224
7103533432343
oct17675563750
95443154167
102130110440
119a3434557
124b5452974
1327c4011a3
14162c8745a
15c7013c7a
hex7ef6e7e8

2130110440 has 64 divisors (see below), whose sum is σ = 4955189760. Its totient is φ = 823253760.

The previous prime is 2130110401. The next prime is 2130110441. The reversal of 2130110440 is 440110312.

It is not an unprimeable number, because it can be changed into a prime (2130110441) 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, 1235419 + ... + 1237141.

It is an arithmetic number, because the mean of its divisors is an integer number (77424840).

Almost surely, 22130110440 is an apocalyptic number.

2130110440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477594880).

2130110440 is an abundant number, since it is smaller than the sum of its proper divisors (2825079320).

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

2130110440 is a wasteful number, since it uses less digits than its factorization.

2130110440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2130110440 is about 46153.1195045362. The cubic root of 2130110440 is about 1286.6705883111.

Adding to 2130110440 its reverse (440110312), we get a palindrome (2570220752).

The spelling of 2130110440 in words is "two billion, one hundred thirty million, one hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 997 1240 1723 1994 3446 3988 4985 6892 7976 8615 9970 13784 17230 19940 30907 34460 39880 53413 61814 68920 106826 123628 154535 213652 247256 267065 309070 427304 534130 618140 1068260 1236280 1717831 2136520 3435662 6871324 8589155 13742648 17178310 34356620 53252761 68713240 106505522 213011044 266263805 426022088 532527610 1065055220 2130110440