Search a number
-
+
1240460928 = 27327199773
BaseRepresentation
bin100100111101111…
…1110111010000000
310012110010221111100
41021323332322000
510020024222203
6323031214400
742511513110
oct11173767200
93173127440
101240460928
11587231723
122a7517400
13169cbca65
14baa63040
1573d7dea3
hex49efee80

1240460928 has 192 divisors, whose sum is σ = 4105296000. Its totient is φ = 352180224.

The previous prime is 1240460873. The next prime is 1240460933. The reversal of 1240460928 is 8290640421.

1240460928 is a `hidden beast` number, since 1 + 2 + 40 + 4 + 609 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 1240460892 and 1240460901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1604350 + ... + 1605122.

It is an arithmetic number, because the mean of its divisors is an integer number (21381750).

Almost surely, 21240460928 is an apocalyptic number.

1240460928 is a gapful number since it is divisible by the number (18) 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 1240460928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052648000).

1240460928 is an abundant number, since it is smaller than the sum of its proper divisors (2864835072).

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

1240460928 is a wasteful number, since it uses less digits than its factorization.

1240460928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1240460928 is about 35220.1778530433. The cubic root of 1240460928 is about 1074.4701706377.

The spelling of 1240460928 in words is "one billion, two hundred forty million, four hundred sixty thousand, nine hundred twenty-eight".