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2104295004 = 22337231101127
BaseRepresentation
bin111110101101100…
…1111111001011100
312102122121021002000
41331123033321130
513302144420004
6544450202300
7103101132600
oct17533177134
95378537060
102104295004
1198a901a89
124a8883390
13276c62a96
1415d687500
15c4b14c39
hex7d6cfe5c

2104295004 has 288 divisors, whose sum is σ = 6667960320. Its totient is φ = 571536000.

The previous prime is 2104294993. The next prime is 2104295009. The reversal of 2104295004 is 4005924012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104295009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16569189 + ... + 16569315.

It is an arithmetic number, because the mean of its divisors is an integer number (23152640).

Almost surely, 22104295004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104295004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333980160).

2104295004 is an abundant number, since it is smaller than the sum of its proper divisors (4563665316).

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

2104295004 is a wasteful number, since it uses less digits than its factorization.

2104295004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2104295004 is about 45872.5953484213. The cubic root of 2104295004 is about 1281.4516010543.

The spelling of 2104295004 in words is "two billion, one hundred four million, two hundred ninety-five thousand, four".