Search a number
-
+
1602246240 = 253257236911
BaseRepresentation
bin101111110000000…
…0101011001100000
311010122220112122100
41133200011121200
511240133334430
6422553410400
754463603560
oct13740053140
94118815570
101602246240
11752476351
12388709a00
131c6c412ca
14112b1ada0
15959e4960
hex5f805660

1602246240 has 288 divisors, whose sum is σ = 6521389056. Its totient is φ = 350254080.

The previous prime is 1602246229. The next prime is 1602246281. The reversal of 1602246240 is 426422061.

1602246240 is a `hidden beast` number, since 16 + 0 + 2 + 24 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228385 + ... + 235295.

It is an arithmetic number, because the mean of its divisors is an integer number (22643712).

Almost surely, 21602246240 is an apocalyptic number.

1602246240 is a gapful number since it is divisible by the number (10) 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 1602246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260694528).

1602246240 is an abundant number, since it is smaller than the sum of its proper divisors (4919142816).

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

1602246240 is a wasteful number, since it uses less digits than its factorization.

1602246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6962 (or 6951 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1602246240 is about 40028.0681522354. The cubic root of 1602246240 is about 1170.1541764829.

It can be divided in two parts, 160224 and 6240, that added together give a square (166464 = 4082).

The spelling of 1602246240 in words is "one billion, six hundred two million, two hundred forty-six thousand, two hundred forty".