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2110450040 = 2351710512953
BaseRepresentation
bin111110111001010…
…1110100101111000
312110002011222012022
41331302232211320
513310233400130
6545230134012
7103204346366
oct17562564570
95402158168
102110450040
11993326396
124aa951308
1327830950a
1416040a636
15c542d7e5
hex7dcae978

2110450040 has 64 divisors (see below), whose sum is σ = 5034324960. Its totient is φ = 793497600.

The previous prime is 2110449967. The next prime is 2110450073. The reversal of 2110450040 is 400540112.

2110450040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 713204 + ... + 716156.

Almost surely, 22110450040 is an apocalyptic number.

2110450040 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 2110450040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517162480).

2110450040 is an abundant number, since it is smaller than the sum of its proper divisors (2923874920).

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

2110450040 is a wasteful number, since it uses less digits than its factorization.

2110450040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2110450040 is about 45939.6347395144. The cubic root of 2110450040 is about 1282.6997947140.

Adding to 2110450040 its reverse (400540112), we get a palindrome (2510990152).

The spelling of 2110450040 in words is "two billion, one hundred ten million, four hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1051 2102 2953 4204 5255 5906 8408 10510 11812 14765 17867 21020 23624 29530 35734 42040 50201 59060 71468 89335 100402 118120 142936 178670 200804 251005 357340 401608 502010 714680 1004020 2008040 3103603 6207206 12414412 15518015 24828824 31036030 52761251 62072060 105522502 124144120 211045004 263806255 422090008 527612510 1055225020 2110450040