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553134400 = 265271329131
BaseRepresentation
bin100000111110000…
…010100101000000
31102112211010202021
4200332002211000
52113100300100
6130515331224
716464364510
oct4076024500
91375733667
10553134400
11264259075
121352b0b14
138a79a080
1453667840
1533861a1a
hex20f82940

553134400 has 336 divisors, whose sum is σ = 1746138240. Its totient is φ = 167731200.

The previous prime is 553134353. The next prime is 553134419. The reversal of 553134400 is 4431355.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4222335 + ... + 4222465.

It is an arithmetic number, because the mean of its divisors is an integer number (5196840).

Almost surely, 2553134400 is an apocalyptic number.

553134400 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 553134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873069120).

553134400 is an abundant number, since it is smaller than the sum of its proper divisors (1193003840).

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

553134400 is a wasteful number, since it uses less digits than its factorization.

553134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 553134400 is about 23518.8094936797. The cubic root of 553134400 is about 820.8747357875.

Adding to 553134400 its reverse (4431355), we get a palindrome (557565755).

The spelling of 553134400 in words is "five hundred fifty-three million, one hundred thirty-four thousand, four hundred".