Search a number
-
+
668557680 = 24357397951
BaseRepresentation
bin100111110110010…
…110000101110000
31201121000020201120
4213312112011300
52332122321210
6150201302240
722365434520
oct4766260560
91647006646
10668557680
1131342430a
12167a94980
13a8680a7b
1464b11680
153da61270
hex27d96170

668557680 has 80 divisors (see below), whose sum is σ = 2368610304. Its totient is φ = 152812800.

The previous prime is 668557649. The next prime is 668557697. The reversal of 668557680 is 86755866.

668557680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197296 + ... + 200655.

Almost surely, 2668557680 is an apocalyptic number.

668557680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668557680 is an abundant number, since it is smaller than the sum of its proper divisors (1700052624).

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

668557680 is a wasteful number, since it uses less digits than its factorization.

668557680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397974 (or 397968 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The square root of 668557680 is about 25856.4823593620. The cubic root of 668557680 is about 874.4056611520.

The spelling of 668557680 in words is "six hundred sixty-eight million, five hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 397951 795902 1193853 1591804 1989755 2387706 2785657 3183608 3979510 4775412 5571314 5969265 6367216 7959020 8356971 9550824 11142628 11938530 13928285 15918040 16713942 19101648 22285256 23877060 27856570 31836080 33427884 41784855 44570512 47754120 55713140 66855768 83569710 95508240 111426280 133711536 167139420 222852560 334278840 668557680