Search a number
-
+
270474876 = 22347313847
BaseRepresentation
bin10000000111110…
…001111001111100
3200211221112210000
4100013301321330
51023220144001
642501114300
76462666330
oct2007617174
9624845700
10270474876
11129748861
12766b8990
1344061009
1427cc97c0
1518b2aa86
hex101f1e7c

270474876 has 120 divisors (see below), whose sum is σ = 834369536. Its totient is φ = 74766240.

The previous prime is 270474863. The next prime is 270474923. The reversal of 270474876 is 678474072.

270474876 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68385 + ... + 72231.

Almost surely, 2270474876 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 270474876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417184768).

270474876 is an abundant number, since it is smaller than the sum of its proper divisors (563894660).

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

270474876 is a wasteful number, since it uses less digits than its factorization.

270474876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 270474876 is about 16446.1203935761. The cubic root of 270474876 is about 646.7091070503.

The spelling of 270474876 in words is "two hundred seventy million, four hundred seventy-four thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 252 279 324 372 378 434 558 567 651 756 837 868 1116 1134 1302 1674 1953 2268 2511 2604 3348 3847 3906 5022 5859 7694 7812 10044 11541 11718 15388 17577 23082 23436 26929 34623 35154 46164 53858 69246 70308 80787 103869 107716 119257 138492 161574 207738 238514 242361 311607 323148 357771 415476 477028 484722 623214 715542 727083 834799 969444 1073313 1246428 1431084 1454166 1669598 2146626 2181249 2504397 2908332 3219939 3339196 4293252 4362498 5008794 6439878 7513191 8724996 9659817 10017588 12879756 15026382 19319634 22539573 30052764 38639268 45079146 67618719 90158292 135237438 270474876