Search a number
-
+
1364837121 = 3429581029
BaseRepresentation
bin101000101011001…
…1100001100000001
310112010011220120000
41101112130030001
510243344241441
6343233110213
745551631654
oct12126341401
93463156500
101364837121
1164046236a
123210b8369
131899b983b
14cd39b89b
157ec4b2b6
hex5159c301

1364837121 has 20 divisors (see below), whose sum is σ = 2109138900. Its totient is φ = 878514336.

The previous prime is 1364837113. The next prime is 1364837137. The reversal of 1364837121 is 1217384631.

It is a happy number.

1364837121 is a `hidden beast` number, since 1 + 3 + 648 + 3 + 7 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 866654721 + 498182400 = 29439^2 + 22320^2 .

It is not a de Polignac number, because 1364837121 - 23 = 1364837113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1364837141) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 288166 + ... + 292863.

It is an arithmetic number, because the mean of its divisors is an integer number (105456945).

Almost surely, 21364837121 is an apocalyptic number.

It is an amenable number.

1364837121 is a deficient number, since it is larger than the sum of its proper divisors (744301779).

1364837121 is an equidigital number, since it uses as much as digits as its factorization.

1364837121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581070 (or 581061 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1364837121 is about 36943.7020478457. The cubic root of 1364837121 is about 1109.2436264200.

The spelling of 1364837121 in words is "one billion, three hundred sixty-four million, eight hundred thirty-seven thousand, one hundred twenty-one".

Divisors: 1 3 9 27 29 81 87 261 783 2349 581029 1743087 5229261 15687783 16849841 47063349 50549523 151648569 454945707 1364837121