Search a number
-
+
246006072 = 233413192953
BaseRepresentation
bin11101010100111…
…00000100111000
3122010220101220000
432222130010320
51000434143242
640224433000
76045005604
oct1652340470
9563811800
10246006072
11116956004
126a478760
133bc74830
142495a504
15168e5a4c
hexea9c138

246006072 has 320 divisors, whose sum is σ = 823284000. Its totient is φ = 67931136.

The previous prime is 246006067. The next prime is 246006083. The reversal of 246006072 is 270600642.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 4641598 + ... + 4641650.

Almost surely, 2246006072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 246006072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411642000).

246006072 is an abundant number, since it is smaller than the sum of its proper divisors (577277928).

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

246006072 is a wasteful number, since it uses less digits than its factorization.

246006072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 246006072 is about 15684.5807084538. The cubic root of 246006072 is about 626.5878108614.

The spelling of 246006072 in words is "two hundred forty-six million, six thousand, seventy-two".