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553126320 = 2435537769
BaseRepresentation
bin100000111110000…
…000100110110000
31102112210201200000
4200332000212300
52113100020240
6130515230000
716464332115
oct4076004660
91375721600
10553126320
11264252a9a
121352a8300
138a7964a6
145366490c
153385e430
hex20f809b0

553126320 has 240 divisors, whose sum is σ = 1981019040. Its totient is φ = 143327232.

The previous prime is 553126313. The next prime is 553126337. The reversal of 553126320 is 23621355.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718896 + ... + 719664.

It is an arithmetic number, because the mean of its divisors is an integer number (8254246).

Almost surely, 2553126320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553126320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990509520).

553126320 is an abundant number, since it is smaller than the sum of its proper divisors (1427892720).

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

553126320 is a wasteful number, since it uses less digits than its factorization.

553126320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 553126320 is about 23518.6377156501. The cubic root of 553126320 is about 820.8707387479.

Adding to 553126320 its reverse (23621355), we get a palindrome (576747675).

The spelling of 553126320 in words is "five hundred fifty-three million, one hundred twenty-six thousand, three hundred twenty".