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1365245952 = 2213731
BaseRepresentation
bin101000101100000…
…0000000000000000
310112010221200100220
41101120000000000
510244000332302
6343245543040
745555253620
oct12130000000
93463850326
101365245952
11640711544
12321274a80
13189b00955
14cd466880
157eccc4bc
hex51600000

1365245952 has 176 divisors, whose sum is σ = 4294966272. Its totient is φ = 377487360.

The previous prime is 1365245939. The next prime is 1365245953. The reversal of 1365245952 is 2595425631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365245953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44040177 + ... + 44040207.

Almost surely, 21365245952 is an apocalyptic number.

1365245952 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 1365245952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147483136).

1365245952 is an abundant number, since it is smaller than the sum of its proper divisors (2929720320).

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

1365245952 is an frugal number, since it uses more digits than its factorization.

1365245952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 43 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The square root of 1365245952 is about 36949.2347958655. The cubic root of 1365245952 is about 1109.3543717246.

The spelling of 1365245952 in words is "one billion, three hundred sixty-five million, two hundred forty-five thousand, nine hundred fifty-two".