Search a number
-
+
554500100 = 22527112331101
BaseRepresentation
bin100001000011010…
…000000000000100
31102122101112010202
4201003100000010
52113423000400
6131004510032
716512113240
oct4103200004
91378345122
10554500100
11265001150
1213584b318
138ab5788b
1453901420
1533a314d5
hex210d0004

554500100 has 288 divisors, whose sum is σ = 1631895552. Its totient is φ = 158400000.

The previous prime is 554500061. The next prime is 554500103. The reversal of 554500100 is 1005455.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (554500103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5490050 + ... + 5490150.

It is an arithmetic number, because the mean of its divisors is an integer number (5666304).

Almost surely, 2554500100 is an apocalyptic number.

554500100 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 554500100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815947776).

554500100 is an abundant number, since it is smaller than the sum of its proper divisors (1077395452).

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

554500100 is a wasteful number, since it uses less digits than its factorization.

554500100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 554500100 is about 23547.8258019716. The cubic root of 554500100 is about 821.5497659689.

Adding to 554500100 its reverse (1005455), we get a palindrome (555505555).

The spelling of 554500100 in words is "five hundred fifty-four million, five hundred thousand, one hundred".