Search a number
-
+
1427301232 = 247171993767
BaseRepresentation
bin101010100010010…
…1110001101110000
310200110201102012121
41111010232031300
510410342114412
6353344004024
750240601040
oct12504561560
93613642177
101427301232
116727465a5
1233a000614
1319991a256
14d77bb720
1585489107
hex5512e370

1427301232 has 80 divisors (see below), whose sum is σ = 3364070400. Its totient is φ = 572673024.

The previous prime is 1427301229. The next prime is 1427301259. The reversal of 1427301232 is 2321037241.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1427301197 and 1427301206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377013 + ... + 380779.

It is an arithmetic number, because the mean of its divisors is an integer number (42050880).

Almost surely, 21427301232 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 1427301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682035200).

1427301232 is an abundant number, since it is smaller than the sum of its proper divisors (1936769168).

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

1427301232 is a wasteful number, since it uses less digits than its factorization.

1427301232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 1427301232 is about 37779.6404429687. The cubic root of 1427301232 is about 1125.9139850186.

Adding to 1427301232 its reverse (2321037241), we get a palindrome (3748338473).

The spelling of 1427301232 in words is "one billion, four hundred twenty-seven million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 199 238 272 398 476 796 952 1393 1592 1904 2786 3184 3383 3767 5572 6766 7534 11144 13532 15068 22288 23681 26369 27064 30136 47362 52738 54128 60272 64039 94724 105476 128078 189448 210952 256156 378896 421904 448273 512312 749633 896546 1024624 1499266 1793092 2998532 3586184 5247431 5997064 7172368 10494862 11994128 12743761 20989724 25487522 41979448 50975044 83958896 89206327 101950088 178412654 203900176 356825308 713650616 1427301232