Search a number
-
+
1351020420 = 223257505669
BaseRepresentation
bin101000010000110…
…1110111110000100
310111011011221121100
41100201232332010
510231330123140
6342021020100
745323325021
oct12041567604
93434157540
101351020420
11633685702
12318554630
13186b8c989
14cb602548
157d91c530
hex5086ef84

1351020420 has 36 divisors (see below), whose sum is σ = 4098095820. Its totient is φ = 360272064.

The previous prime is 1351020401. The next prime is 1351020427. The reversal of 1351020420 is 240201531.

It can be written as a sum of positive squares in 2 ways, for example, as 1042385796 + 308634624 = 32286^2 + 17568^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1351020393 and 1351020402.

It is not an unprimeable number, because it can be changed into a prime (1351020427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3752655 + ... + 3753014.

It is an arithmetic number, because the mean of its divisors is an integer number (113835995).

Almost surely, 21351020420 is an apocalyptic number.

1351020420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1351020420 is an abundant number, since it is smaller than the sum of its proper divisors (2747075400).

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

1351020420 is a wasteful number, since it uses less digits than its factorization.

1351020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7505684 (or 7505679 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1351020420 is about 36756.2296760699. The cubic root of 1351020420 is about 1105.4878431220.

Adding to 1351020420 its reverse (240201531), we get a palindrome (1591221951).

It can be divided in two parts, 13510 and 20420, that added together give a triangular number (33930 = T260).

The spelling of 1351020420 in words is "one billion, three hundred fifty-one million, twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7505669 15011338 22517007 30022676 37528345 45034014 67551021 75056690 90068028 112585035 135102042 150113380 225170070 270204084 337755105 450340140 675510210 1351020420