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532421120 = 2957113773
BaseRepresentation
bin11111101111000…
…001101000000000
31101002211210110202
4133233001220000
52042244433440
6124455344332
716123335110
oct3757015000
91332753422
10532421120
112535a0960
1212a3820a8
13863c70aa
14509d5040
1531b1e615
hex1fbc1a00

532421120 has 320 divisors, whose sum is σ = 1656965376. Its totient is φ = 159252480.

The previous prime is 532421101. The next prime is 532421129. The reversal of 532421120 is 21124235.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 532421092 and 532421101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532421129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7293404 + ... + 7293476.

Almost surely, 2532421120 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 532421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828482688).

532421120 is an abundant number, since it is smaller than the sum of its proper divisors (1124544256).

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

532421120 is a wasteful number, since it uses less digits than its factorization.

532421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 532421120 is about 23074.2523172475. The cubic root of 532421120 is about 810.4976467417.

Adding to 532421120 its reverse (21124235), we get a palindrome (553545355).

The spelling of 532421120 in words is "five hundred thirty-two million, four hundred twenty-one thousand, one hundred twenty".