Search a number
-
+
1427315072 = 2789349359
BaseRepresentation
bin101010100010011…
…0001100110000000
310200110202010012012
41111010301212000
510410343040242
6353344152052
750240656301
oct12504614600
93613663165
101427315072
11672755a37
1233a008628
13199923641
14d77c27a8
158548d282
hex55131980

1427315072 has 64 divisors (see below), whose sum is σ = 2891700000. Its totient is φ = 701657088.

The previous prime is 1427315047. The next prime is 1427315077. The reversal of 1427315072 is 2705137241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427315077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3975629 + ... + 3975987.

Almost surely, 21427315072 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 1427315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445850000).

1427315072 is an abundant number, since it is smaller than the sum of its proper divisors (1464384928).

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

1427315072 is an equidigital number, since it uses as much as digits as its factorization.

1427315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 1427315072 is about 37779.8236099641. The cubic root of 1427315072 is about 1125.9176241941.

The spelling of 1427315072 in words is "one billion, four hundred twenty-seven million, three hundred fifteen thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 89 128 178 349 356 359 698 712 718 1396 1424 1436 2792 2848 2872 5584 5696 5744 11168 11392 11488 22336 22976 31061 31951 44672 45952 62122 63902 124244 125291 127804 248488 250582 255608 496976 501164 511216 993952 1002328 1022432 1987904 2004656 2044864 3975808 4009312 4089728 8018624 11150899 16037248 22301798 44603596 89207192 178414384 356828768 713657536 1427315072