[go: up one dir, main page]

Search a number
-
+
523480320 = 283751117
BaseRepresentation
bin11111001100111…
…010110100000000
31100111000120000000
4133030322310000
52033002332240
6123540000000
715654336456
oct3714726400
91314016000
10523480320
11249544570
12127390000
13845b668c
144d7489d6
1530e55430
hex1f33ad00

523480320 has 576 divisors, whose sum is σ = 2172199680. Its totient is φ = 119439360.

The previous prime is 523480319. The next prime is 523480339. The reversal of 523480320 is 23084325.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30792952 + ... + 30792968.

It is an arithmetic number, because the mean of its divisors is an integer number (3771180).

Almost surely, 2523480320 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 523480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086099840).

523480320 is an abundant number, since it is smaller than the sum of its proper divisors (1648719360).

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

523480320 is an equidigital number, since it uses as much as digits as its factorization.

523480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 523480320 is about 22879.6923056233. The cubic root of 523480320 is about 805.9351913196.

The spelling of 523480320 in words is "five hundred twenty-three million, four hundred eighty thousand, three hundred twenty".