Search a number
-
+
632493020 = 225431275791
BaseRepresentation
bin100101101100110…
…001001111011100
31122002010222022102
4211230301033130
52243404234040
6142432304232
721450046655
oct4554611734
91562128272
10632493020
112a5031405
121579a2078
13a1064533
146000452c
153a7da515
hex25b313dc

632493020 has 48 divisors (see below), whose sum is σ = 1370062848. Its totient is φ = 245125440.

The previous prime is 632492999. The next prime is 632493023. The reversal of 632493020 is 20394236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632493023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106325 + ... + 112115.

It is an arithmetic number, because the mean of its divisors is an integer number (28542976).

Almost surely, 2632493020 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 632493020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685031424).

632493020 is an abundant number, since it is smaller than the sum of its proper divisors (737569828).

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

632493020 is a wasteful number, since it uses less digits than its factorization.

632493020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5970 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 632493020 is about 25149.4139096719. The cubic root of 632493020 is about 858.3911782635.

The spelling of 632493020 in words is "six hundred thirty-two million, four hundred ninety-three thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 127 172 215 254 430 508 635 860 1270 2540 5461 5791 10922 11582 21844 23164 27305 28955 54610 57910 109220 115820 249013 498026 735457 996052 1245065 1470914 2490130 2941828 3677285 4980260 7354570 14709140 31624651 63249302 126498604 158123255 316246510 632493020