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533790720 = 216325181
BaseRepresentation
bin11111110100010…
…000000000000000
31101012102101012200
4133310100000000
52043122300340
6124544553200
716141101111
oct3764200000
91335371180
10533790720
11254346961
1212a922800
13867865c8
1450c70208
1531ce0330
hex1fd10000

533790720 has 204 divisors, whose sum is σ = 1860683916. Its totient is φ = 141557760.

The previous prime is 533790707. The next prime is 533790721. The reversal of 533790720 is 27097335.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 462422016 = 8448^2 + 21504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533790721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2949030 + ... + 2949210.

Almost surely, 2533790720 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 533790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930341958).

533790720 is an abundant number, since it is smaller than the sum of its proper divisors (1326893196).

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

533790720 is an equidigital number, since it uses as much as digits as its factorization.

533790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 533790720 is about 23103.9113571707. The cubic root of 533790720 is about 811.1920263446.

The spelling of 533790720 in words is "five hundred thirty-three million, seven hundred ninety thousand, seven hundred twenty".