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2036940480 = 26335431547
BaseRepresentation
bin111100101101001…
…0011111011000000
312020221212022001000
41321122103323000
513132424043410
6534042412000
7101322464661
oct17132237300
95227768030
102036940480
11955888593
1248a201000
1326600c433
14154753368
15bdc5cdc0
hex79693ec0

2036940480 has 224 divisors, whose sum is σ = 7215713280. Its totient is φ = 540933120.

The previous prime is 2036940469. The next prime is 2036940481. The reversal of 2036940480 is 840496302.

It is a happy number.

2036940480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2036940481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3723567 + ... + 3724113.

Almost surely, 22036940480 is an apocalyptic number.

2036940480 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 2036940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607856640).

2036940480 is an abundant number, since it is smaller than the sum of its proper divisors (5178772800).

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

2036940480 is a wasteful number, since it uses less digits than its factorization.

2036940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2036940480 is about 45132.4769982770. The cubic root of 2036940480 is about 1267.6307907471.

The spelling of 2036940480 in words is "two billion, thirty-six million, nine hundred forty thousand, four hundred eighty".