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2104727040 = 29325137027
BaseRepresentation
bin111110101110011…
…1001011000000000
312102200102012201100
41331130321120000
513302302231130
6544503334400
7103104612303
oct17534713000
95380365640
102104727040
11990077639
124a8a51400
13277084620
1415d75ab3a
15c4b9cc60
hex7d739600

2104727040 has 240 divisors, whose sum is σ = 7851091248. Its totient is φ = 518012928.

The previous prime is 2104727003. The next prime is 2104727047. The reversal of 2104727040 is 407274012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 2104726995 and 2104727013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104727047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296007 + ... + 303033.

Almost surely, 22104727040 is an apocalyptic number.

2104727040 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 2104727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925545624).

2104727040 is an abundant number, since it is smaller than the sum of its proper divisors (5746364208).

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

2104727040 is a wasteful number, since it uses less digits than its factorization.

2104727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069 (or 7050 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 2104727040 is about 45877.3041928141. The cubic root of 2104727040 is about 1281.5392939773.

The spelling of 2104727040 in words is "two billion, one hundred four million, seven hundred twenty-seven thousand, forty".