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2107341400 = 235221149937
BaseRepresentation
bin111110110011011…
…0111101001011000
312102212100000221111
41331212313221120
513303434411100
6545035350104
7103136051323
oct17546675130
95385300844
102107341400
119915a286a
124a98b2334
1327778b598
1415dc3b7ba
15c50176ba
hex7d9b7a58

2107341400 has 48 divisors (see below), whose sum is σ = 4922888040. Its totient is φ = 838924800.

The previous prime is 2107341389. The next prime is 2107341413. The reversal of 2107341400 is 41437012.

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 11 ways as a sum of consecutive naturals, for example, 17232 + ... + 67168.

Almost surely, 22107341400 is an apocalyptic number.

2107341400 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 2107341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461444020).

2107341400 is an abundant number, since it is smaller than the sum of its proper divisors (2815546640).

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

2107341400 is a wasteful number, since it uses less digits than its factorization.

2107341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50164 (or 50155 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2107341400 is about 45905.7883060513. The cubic root of 2107341400 is about 1282.0696903565.

Adding to 2107341400 its reverse (41437012), we get a palindrome (2148778412).

The spelling of 2107341400 in words is "two billion, one hundred seven million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 422 844 1055 1688 2110 4220 5275 8440 10550 21100 42200 49937 99874 199748 249685 399496 499370 998740 1248425 1997480 2496850 4993700 9987400 10536707 21073414 42146828 52683535 84293656 105367070 210734140 263417675 421468280 526835350 1053670700 2107341400