Search a number
-
+
532869120 = 2123257259
BaseRepresentation
bin11111110000101…
…111000000000000
31101010200120000100
4133300233000000
52042403302440
6124513122400
716130212200
oct3760570000
91333616010
10532869120
11253877503
1212a559400
1386522c94
1450ab0400
1531bac230
hex1fc2f000

532869120 has 468 divisors, whose sum is σ = 2185031160. Its totient is φ = 119734272.

The previous prime is 532869119. The next prime is 532869133. The reversal of 532869120 is 21968235.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9031651 + ... + 9031709.

It is an arithmetic number, because the mean of its divisors is an integer number (4668870).

Almost surely, 2532869120 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 532869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092515580).

532869120 is an abundant number, since it is smaller than the sum of its proper divisors (1652162040).

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

532869120 is a wasteful number, since it uses less digits than its factorization.

532869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 532869120 is about 23083.9580661549. The cubic root of 532869120 is about 810.7249111737.

The spelling of 532869120 in words is "five hundred thirty-two million, eight hundred sixty-nine thousand, one hundred twenty".