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2105945400 = 23352131092477
BaseRepresentation
bin111110110000110…
…0010110100111000
312102202201002222210
41331201202310320
513303110223100
6544545415120
7103121145336
oct17541426470
95382632883
102105945400
11990829a49
124a933a4a0
132773c0050
1415d996b56
15c4d3dc50
hex7d862d38

2105945400 has 192 divisors, whose sum is σ = 7097983200. Its totient is φ = 513423360.

The previous prime is 2105945381. The next prime is 2105945417. The reversal of 2105945400 is 45495012.

2105945400 is digitally balanced in base 4, 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 848962 + ... + 851438.

Almost surely, 22105945400 is an apocalyptic number.

2105945400 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 2105945400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548991600).

2105945400 is an abundant number, since it is smaller than the sum of its proper divisors (4992037800).

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

2105945400 is a wasteful number, since it uses less digits than its factorization.

2105945400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2105945400 is about 45890.5807328694. The cubic root of 2105945400 is about 1281.7865271504.

The spelling of 2105945400 in words is "two billion, one hundred five million, nine hundred forty-five thousand, four hundred".