Search a number
-
+
551300 = 225237149
BaseRepresentation
bin10000110100110000100
31001000020112
42012212010
5120120200
615452152
74454201
oct2064604
91030215
10551300
11347222
12227058
13163c19
14104ca8
15ad535
hex86984

551300 has 36 divisors (see below), whose sum is σ = 1236900. Its totient is φ = 213120.

The previous prime is 551297. The next prime is 551311. The reversal of 551300 is 3155.

551300 = T1 + T2 + ... + T148.

551300 is a nontrivial binomial coefficient, being equal to C(150, 3).

It can be written as a sum of positive squares in 6 ways, for example, as 9604 + 541696 = 98^2 + 736^2 .

It is an unprimeable number.

It is the 148-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3626 + ... + 3774.

2551300 is an apocalyptic number.

551300 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 551300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618450).

551300 is an abundant number, since it is smaller than the sum of its proper divisors (685600).

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

551300 is a wasteful number, since it uses less digits than its factorization.

551300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 551300 is about 742.4957912339. The cubic root of 551300 is about 81.9966288521.

Adding to 551300 its reverse (3155), we get a palindrome (554455).

The spelling of 551300 in words is "five hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 149 185 298 370 596 740 745 925 1490 1850 2980 3700 3725 5513 7450 11026 14900 22052 27565 55130 110260 137825 275650 551300