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2081860704 = 25367111961
BaseRepresentation
bin111110000010110…
…1010110001100000
312101002101111000000
41330011222301200
513230424020304
6542325300000
7102406344510
oct17405526140
95332344000
102081860704
11979179840
124a1264600
13272409651
1415a6c7840
15c2b82939
hex7c16ac60

2081860704 has 672 divisors, whose sum is σ = 8196975360. Its totient is φ = 503884800.

The previous prime is 2081860691. The next prime is 2081860747. The reversal of 2081860704 is 4070681802.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34128834 + ... + 34128894.

It is an arithmetic number, because the mean of its divisors is an integer number (12197880).

Almost surely, 22081860704 is an apocalyptic number.

2081860704 is a gapful number since it is divisible by the number (24) 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 2081860704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098487680).

2081860704 is an abundant number, since it is smaller than the sum of its proper divisors (6115114656).

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

2081860704 is a wasteful number, since it uses less digits than its factorization.

2081860704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2081860704 is about 45627.4117609141. The cubic root of 2081860704 is about 1276.8813857896.

The spelling of 2081860704 in words is "two billion, eighty-one million, eight hundred sixty thousand, seven hundred four".