Search a number
-
+
1362137340 = 223522702289
BaseRepresentation
bin101000100110000…
…1001000011111100
310111221002202011010
41101030021003330
510242201343330
6343055155220
745516655614
oct12114110374
93457082133
101362137340
11639988a43
12320215b10
13189282a35
14ccc97a44
157e8b63b0
hex513090fc

1362137340 has 24 divisors (see below), whose sum is σ = 3813984720. Its totient is φ = 363236608.

The previous prime is 1362137333. The next prime is 1362137353. The reversal of 1362137340 is 437312631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1362137298 and 1362137307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11351085 + ... + 11351204.

It is an arithmetic number, because the mean of its divisors is an integer number (158916030).

Almost surely, 21362137340 is an apocalyptic number.

1362137340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1362137340 is an abundant number, since it is smaller than the sum of its proper divisors (2451847380).

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

1362137340 is a wasteful number, since it uses less digits than its factorization.

1362137340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22702301 (or 22702299 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 1362137340 is about 36907.1448367386. The cubic root of 1362137340 is about 1108.5117462549.

Adding to 1362137340 its reverse (437312631), we get a palindrome (1799449971).

The spelling of 1362137340 in words is "one billion, three hundred sixty-two million, one hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 22702289 45404578 68106867 90809156 113511445 136213734 227022890 272427468 340534335 454045780 681068670 1362137340