Search a number
-
+
268770432 = 273799989
BaseRepresentation
bin10000000001010…
…001110010000000
3200201201221201110
4100001101302000
51022301123212
642400403320
76442340160
oct2001216200
9621657643
10268770432
11128794227
1276016540
13438b5278
14279a45a0
15188e0a3c
hex10051c80

268770432 has 64 divisors (see below), whose sum is σ = 815918400. Its totient is φ = 76790784.

The previous prime is 268770427. The next prime is 268770443. The reversal of 268770432 is 234077862.

268770432 is digitally balanced in base 3, 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 (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47307 + ... + 52682.

It is an arithmetic number, because the mean of its divisors is an integer number (12748725).

Almost surely, 2268770432 is an apocalyptic number.

It is an amenable number.

268770432 is an abundant number, since it is smaller than the sum of its proper divisors (547147968).

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

268770432 is an equidigital number, since it uses as much as digits as its factorization.

268770432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100013 (or 100001 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 268770432 is about 16394.2194690690. The cubic root of 268770432 is about 645.3477939220.

The spelling of 268770432 in words is "two hundred sixty-eight million, seven hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 99989 199978 299967 399956 599934 699923 799912 1199868 1399846 1599824 2099769 2399736 2799692 3199648 4199538 4799472 5599384 6399296 8399076 9598944 11198768 12798592 16798152 19197888 22397536 33596304 38395776 44795072 67192608 89590144 134385216 268770432