Search a number
-
+
2940155820 = 223457237039
BaseRepresentation
bin1010111100111111…
…0011011110101100
321120220102101120000
42233033303132230
522010134441240
61203425424300
7132600624600
oct25717633654
97526371500
102940155820
111279706648
126a079b090
1337b190494
141dc6a9500
151231c2430
hexaf3f37ac

2940155820 has 180 divisors, whose sum is σ = 10729524960. Its totient is φ = 672017472.

The previous prime is 2940155819. The next prime is 2940155839. The reversal of 2940155820 is 285510492.

2940155820 is a `hidden beast` number, since 29 + 40 + 15 + 582 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 59 ways as a sum of consecutive naturals, for example, 60861 + ... + 97899.

It is an arithmetic number, because the mean of its divisors is an integer number (59608472).

Almost surely, 22940155820 is an apocalyptic number.

2940155820 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 2940155820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364762480).

2940155820 is an abundant number, since it is smaller than the sum of its proper divisors (7789369140).

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

2940155820 is a wasteful number, since it uses less digits than its factorization.

2940155820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37074 (or 37056 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2940155820 is about 54223.2037046872. The cubic root of 2940155820 is about 1432.5950596165.

The spelling of 2940155820 in words is "two billion, nine hundred forty million, one hundred fifty-five thousand, eight hundred twenty".