Search a number
-
+
274485960 = 233257108923
BaseRepresentation
bin10000010111000…
…101001011001000
3201010111022221200
4100113011023020
51030232022320
643123104200
76542043420
oct2027051310
9633438850
10274485960
11130a38401
1277b12060
1344b36938
1428651480
151916e290
hex105c52c8

274485960 has 96 divisors (see below), whose sum is σ = 1019528640. Its totient is φ = 62739072.

The previous prime is 274485949. The next prime is 274485971. The reversal of 274485960 is 69584472.

It is a happy number.

274485960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (274485949) and next prime (274485971).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51942 + ... + 56981.

It is an arithmetic number, because the mean of its divisors is an integer number (10620090).

Almost surely, 2274485960 is an apocalyptic number.

274485960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

274485960 is an abundant number, since it is smaller than the sum of its proper divisors (745042680).

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

274485960 is a wasteful number, since it uses less digits than its factorization.

274485960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108947 (or 108940 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 274485960 is about 16567.6178130714. The cubic root of 274485960 is about 649.8902852296.

The spelling of 274485960 in words is "two hundred seventy-four million, four hundred eighty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 108923 217846 326769 435692 544615 653538 762461 871384 980307 1089230 1307076 1524922 1633845 1960614 2178460 2287383 2614152 3049844 3267690 3812305 3921228 4356920 4574766 4901535 6099688 6535380 6862149 7624610 7842456 9149532 9803070 11436915 13070760 13724298 15249220 18299064 19606140 22873830 27448596 30498440 34310745 39212280 45747660 54897192 68621490 91495320 137242980 274485960