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556740000 = 2533541031
BaseRepresentation
bin100001001011110…
…010110110100000
31102210121022201000
4201023302312200
52120011140000
6131124512000
716540132455
oct4113626640
91383538630
10556740000
112662a1003
1213654b600
138b46026b
1453d2582c
1533d25000
hex212f2da0

556740000 has 240 divisors, whose sum is σ = 2031099840. Its totient is φ = 148320000.

The previous prime is 556739993. The next prime is 556740007. The reversal of 556740000 is 47655.

It is an interprime number because it is at equal distance from previous prime (556739993) and next prime (556740007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (556740007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 539485 + ... + 540515.

It is an arithmetic number, because the mean of its divisors is an integer number (8462916).

Almost surely, 2556740000 is an apocalyptic number.

556740000 is a gapful number since it is divisible by the number (50) 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 556740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015549920).

556740000 is an abundant number, since it is smaller than the sum of its proper divisors (1474359840).

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

556740000 is a wasteful number, since it uses less digits than its factorization.

556740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 556740000 is about 23595.3385226828. The cubic root of 556740000 is about 822.6544949882.

Adding to 556740000 its reverse (47655), we get a palindrome (556787655).

The spelling of 556740000 in words is "five hundred fifty-six million, seven hundred forty thousand".