Search a number
-
+
1361227032 = 233411192232
BaseRepresentation
bin101000100100010…
…1010110100011000
310111212101111110000
41101020222310120
510241433231112
6343023453000
745506144634
oct12110526430
93455344400
101361227032
11639417020
1231ba57160
131890245a9
14ccadbdc4
157e7867dc
hex5122ad18

1361227032 has 360 divisors, whose sum is σ = 4588893540. Its totient is φ = 373792320.

The previous prime is 1361227001. The next prime is 1361227033. The reversal of 1361227032 is 2307221631.

1361227032 is a `hidden beast` number, since 1 + 361 + 2 + 270 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1361226987 and 1361227005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361227033) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 59183773 + ... + 59183795.

Almost surely, 21361227032 is an apocalyptic number.

1361227032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361227032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294446770).

1361227032 is an abundant number, since it is smaller than the sum of its proper divisors (3227666508).

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

1361227032 is a wasteful number, since it uses less digits than its factorization.

1361227032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1361227032 is about 36894.8103667711. The cubic root of 1361227032 is about 1108.2647540333.

Adding to 1361227032 its reverse (2307221631), we get a palindrome (3668448663).

The spelling of 1361227032 in words is "one billion, three hundred sixty-one million, two hundred twenty-seven thousand, thirty-two".