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3993406560 = 25325112134143
BaseRepresentation
bin1110111000000110…
…1000110001100000
3101022022022001221200
43232001220301200
531134303002220
61500132321200
7200650252503
oct35601506140
911268261850
103993406560
11176a1a0500
12935473200
134b8453580
1429c51913a
151858c1890
hexee068c60

3993406560 has 864 divisors, whose sum is σ = 16908956064. Its totient is φ = 851558400.

The previous prime is 3993406537. The next prime is 3993406583. The reversal of 3993406560 is 656043993.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3993406537) and next prime (3993406583).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92869899 + ... + 92869941.

It is an arithmetic number, because the mean of its divisors is an integer number (19570551).

Almost surely, 23993406560 is an apocalyptic number.

3993406560 is a gapful number since it is divisible by the number (30) 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 3993406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8454478032).

3993406560 is an abundant number, since it is smaller than the sum of its proper divisors (12915549504).

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

3993406560 is a wasteful number, since it uses less digits than its factorization.

3993406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 3993406560 is about 63193.4059851184. The cubic root of 3993406560 is about 1586.5283694948.

The spelling of 3993406560 in words is "three billion, nine hundred ninety-three million, four hundred six thousand, five hundred sixty".