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2074847040 = 2632571011019
BaseRepresentation
bin111101110101011…
…1010011101000000
312100121012011001200
41323222322131000
513222130101130
6541515101200
7102262623510
oct17352723500
95317164050
102074847040
11975219322
1249aa41800
13270b22156
141597bd840
15c2249760
hex7baba740

2074847040 has 336 divisors, whose sum is σ = 8244961920. Its totient is φ = 469094400.

The previous prime is 2074847011. The next prime is 2074847057. The reversal of 2074847040 is 407484702.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2074846986 and 2074847004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2035651 + ... + 2036669.

Almost surely, 22074847040 is an apocalyptic number.

2074847040 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 2074847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122480960).

2074847040 is an abundant number, since it is smaller than the sum of its proper divisors (6170114880).

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

2074847040 is a wasteful number, since it uses less digits than its factorization.

2074847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 2074847040 is about 45550.4889106582. The cubic root of 2074847040 is about 1275.4458602147.

The spelling of 2074847040 in words is "two billion, seventy-four million, eight hundred forty-seven thousand, forty".