Search a number
-
+
664197072 = 243711217312
BaseRepresentation
bin100111100101101…
…101011111010000
31201021210201002120
4213211231133100
52330013301242
6145524014240
722313403420
oct4745553720
91637721076
10664197072
11310a16100
12166531380
13a77b5026
14642d8480
153d49e1ec
hex2796d7d0

664197072 has 360 divisors, whose sum is σ = 2358224064. Its totient is φ = 157132800.

The previous prime is 664197067. The next prime is 664197133. The reversal of 664197072 is 270791466.

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

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 71 ways as a sum of consecutive naturals, for example, 21425697 + ... + 21425727.

Almost surely, 2664197072 is an apocalyptic number.

664197072 is a gapful number since it is divisible by the number (62) 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 664197072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179112032).

664197072 is an abundant number, since it is smaller than the sum of its proper divisors (1694026992).

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

664197072 is a wasteful number, since it uses less digits than its factorization.

664197072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 664197072 is about 25772.0211081708. The cubic root of 664197072 is about 872.5004351905.

The spelling of 664197072 in words is "six hundred sixty-four million, one hundred ninety-seven thousand, seventy-two".