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2995907040 = 253357214153
BaseRepresentation
bin1011001010010001…
…1110100111100000
321201210022211212000
42302210132213200
522113423011130
61213140404000
7134145534600
oct26244364740
97653284760
102995907040
1112a8125335
126b73a6600
133898b0579
14205c5cc00
15128036260
hexb291e9e0

2995907040 has 288 divisors, whose sum is σ = 12198483360. Its totient is φ = 684730368.

The previous prime is 2995907011. The next prime is 2995907063. The reversal of 2995907040 is 407095992.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204604 + ... + 218756.

It is an arithmetic number, because the mean of its divisors is an integer number (42355845).

Almost surely, 22995907040 is an apocalyptic number.

2995907040 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 2995907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099241680).

2995907040 is an abundant number, since it is smaller than the sum of its proper divisors (9202576320).

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

2995907040 is a wasteful number, since it uses less digits than its factorization.

2995907040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14191 (or 14170 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 2995907040 is about 54734.8795559102. The cubic root of 2995907040 is about 1441.5933751522.

The spelling of 2995907040 in words is "two billion, nine hundred ninety-five million, nine hundred seven thousand, forty".