Search a number
-
+
1393696512 = 283213193179
BaseRepresentation
bin101001100010010…
…0001111100000000
310121010111010012100
41103010201330000
510323241242022
6350143430400
746352140065
oct12304417400
93533433170
101393696512
116557838aa
1232a8b5400
131929825c0
14d3150c6c
158254c1ac
hex53121f00

1393696512 has 432 divisors, whose sum is σ = 4761702400. Its totient is φ = 388177920.

The previous prime is 1393696511. The next prime is 1393696573. The reversal of 1393696512 is 2156963931.

1393696512 is a `hidden beast` number, since 13 + 9 + 36 + 96 + 512 = 666.

It is a super-2 number, since 2×13936965122 = 3884779935121932288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1393696511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17641689 + ... + 17641767.

Almost surely, 21393696512 is an apocalyptic number.

1393696512 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 1393696512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380851200).

1393696512 is an abundant number, since it is smaller than the sum of its proper divisors (3368005888).

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

1393696512 is a wasteful number, since it uses less digits than its factorization.

1393696512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 147 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 1393696512 is about 37332.2449365157. The cubic root of 1393696512 is about 1117.0074534637.

The spelling of 1393696512 in words is "one billion, three hundred ninety-three million, six hundred ninety-six thousand, five hundred twelve".