Search a number
-
+
1364500692 = 2232295692297
BaseRepresentation
bin101000101010100…
…1010000011010100
310112002112211001200
41101111022003110
510243303010232
6343221552500
745546031062
oct12125120324
93462484050
101364500692
11640252625
12320b75730
131898cc679
14cd311032
157ebd177c
hex5154a0d4

1364500692 has 72 divisors (see below), whose sum is σ = 3575917800. Its totient is φ = 438187008.

The previous prime is 1364500679. The next prime is 1364500703. The reversal of 1364500692 is 2960054631.

It is a happy number.

1364500692 is a `hidden beast` number, since 1 + 3 + 64 + 500 + 6 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57244356 + 1307256336 = 7566^2 + 36156^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592888 + ... + 595184.

It is an arithmetic number, because the mean of its divisors is an integer number (49665525).

Almost surely, 21364500692 is an apocalyptic number.

1364500692 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 1364500692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787958900).

1364500692 is an abundant number, since it is smaller than the sum of its proper divisors (2211417108).

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

1364500692 is a wasteful number, since it uses less digits than its factorization.

1364500692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1364500692 is about 36939.1485012852. The cubic root of 1364500692 is about 1109.1524769866.

The spelling of 1364500692 in words is "one billion, three hundred sixty-four million, five hundred thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 569 1044 1138 1707 2276 2297 3414 4594 5121 6828 6891 9188 10242 13782 16501 20484 20673 27564 33002 41346 49503 66004 66613 82692 99006 133226 148509 198012 199839 266452 297018 399678 594036 599517 799356 1199034 1306993 2398068 2613986 3920979 5227972 7841958 11762937 15683916 23525874 37902797 47051748 75805594 113708391 151611188 227416782 341125173 454833564 682250346 1364500692