Search a number
-
+
532691040 = 253572361113
BaseRepresentation
bin11111110000000…
…011100001100000
31101010100111201210
4133300003201200
52042332103130
6124505230120
716125541050
oct3760034140
91333314653
10532691040
11253765732
1212a492340
138648cbcb
1450a65560
1531b745b0
hex1fc03860

532691040 has 384 divisors, whose sum is σ = 2051868672. Its totient is φ = 113541120.

The previous prime is 532690993. The next prime is 532691057. The reversal of 532691040 is 40196235.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 532690989 and 532691007.

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, 4714024 + ... + 4714136.

It is an arithmetic number, because the mean of its divisors is an integer number (5343408).

Almost surely, 2532691040 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 532691040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025934336).

532691040 is an abundant number, since it is smaller than the sum of its proper divisors (1519177632).

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

532691040 is a wasteful number, since it uses less digits than its factorization.

532691040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 532691040 is about 23080.1005197118. The cubic root of 532691040 is about 810.6345888209.

The spelling of 532691040 in words is "five hundred thirty-two million, six hundred ninety-one thousand, forty".