Search a number
-
+
553036100 = 225228119681
BaseRepresentation
bin100000111101101…
…010100101000100
31102112122010220112
4200331222211010
52113034123400
6130513252152
716463505101
oct4075524504
91375563815
10553036100
112641a1231
12135264058
138a7643c6
145363daa8
1533842835
hex20f6a944

553036100 has 36 divisors (see below), whose sum is σ = 1204420308. Its totient is φ = 220416000.

The previous prime is 553036093. The next prime is 553036123. The reversal of 553036100 is 1630355.

It can be written as a sum of positive squares in 6 ways, for example, as 41190724 + 511845376 = 6418^2 + 22624^2 .

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 11 ways as a sum of consecutive naturals, for example, 18260 + ... + 37940.

Almost surely, 2553036100 is an apocalyptic number.

553036100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

553036100 is an abundant number, since it is smaller than the sum of its proper divisors (651384208).

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

553036100 is a wasteful number, since it uses less digits than its factorization.

553036100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19976 (or 19969 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 553036100 is about 23516.7195841597. The cubic root of 553036100 is about 820.8261057938.

Adding to 553036100 its reverse (1630355), we get a palindrome (554666455).

The spelling of 553036100 in words is "five hundred fifty-three million, thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 281 562 1124 1405 2810 5620 7025 14050 19681 28100 39362 78724 98405 196810 393620 492025 984050 1968100 5530361 11060722 22121444 27651805 55303610 110607220 138259025 276518050 553036100