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2925103104 = 21134711229
BaseRepresentation
bin1010111001011001…
…1000100000000000
321112212002122010000
42232112120200000
521442311244404
61202131040000
7132325652250
oct25626304000
97485078100
102925103104
111271165290
12697740000
1337801cb51
141da6ab960
15121bec339
hexae598800

2925103104 has 480 divisors, whose sum is σ = 10940529600. Its totient is φ = 756449280.

The previous prime is 2925103087. The next prime is 2925103123. The reversal of 2925103104 is 4013015292.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12773262 + ... + 12773490.

It is an arithmetic number, because the mean of its divisors is an integer number (22792770).

Almost surely, 22925103104 is an apocalyptic number.

2925103104 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 2925103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470264800).

2925103104 is an abundant number, since it is smaller than the sum of its proper divisors (8015426496).

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

2925103104 is a wasteful number, since it uses less digits than its factorization.

2925103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2925103104 is about 54084.2223203773. Note that the first 3 decimals coincide. The cubic root of 2925103104 is about 1430.1460564462.

Adding to 2925103104 its reverse (4013015292), we get a palindrome (6938118396).

The spelling of 2925103104 in words is "two billion, nine hundred twenty-five million, one hundred three thousand, one hundred four".