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2087471100 = 223521113219197
BaseRepresentation
bin111110001101100…
…0100011111111100
312101110221112000110
41330123010133330
513233343033400
6543045430020
7102505132401
oct17433043774
95343845013
102087471100
11981360a30
124a310b310
13273622200
1415b3482a8
15c33dee50
hex7c6c47fc

2087471100 has 432 divisors, whose sum is σ = 7548266880. Its totient is φ = 440294400.

The previous prime is 2087471063. The next prime is 2087471107. The reversal of 2087471100 is 11747802.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087471107) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 10596202 + ... + 10596398.

It is an arithmetic number, because the mean of its divisors is an integer number (17472840).

Almost surely, 22087471100 is an apocalyptic number.

2087471100 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 2087471100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774133440).

2087471100 is an abundant number, since it is smaller than the sum of its proper divisors (5460795780).

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

2087471100 is a wasteful number, since it uses less digits than its factorization.

2087471100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 2087471100 is about 45688.8509376193. The cubic root of 2087471100 is about 1278.0273773833.

The spelling of 2087471100 in words is "two billion, eighty-seven million, four hundred seventy-one thousand, one hundred".