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270486132 = 223729373001
BaseRepresentation
bin10000000111110…
…100101001110100
3200211222010012220
4100013310221310
51023221024012
642501242340
76463044210
oct2007645164
9624863186
10270486132
11129756264
12767033b0
1344066187
1427ccd940
1518b2e08c
hex101f4a74

270486132 has 96 divisors (see below), whose sum is σ = 766590720. Its totient is φ = 72576000.

The previous prime is 270486113. The next prime is 270486157. The reversal of 270486132 is 231684072.

It is a junction number, because it is equal to n+sod(n) for n = 270486093 and 270486102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88632 + ... + 91632.

It is an arithmetic number, because the mean of its divisors is an integer number (7985320).

Almost surely, 2270486132 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 270486132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383295360).

270486132 is an abundant number, since it is smaller than the sum of its proper divisors (496104588).

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

270486132 is a wasteful number, since it uses less digits than its factorization.

270486132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 270486132 is about 16446.4625983827. The cubic root of 270486132 is about 646.7180780089.

The spelling of 270486132 in words is "two hundred seventy million, four hundred eighty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 37 42 58 74 84 87 111 116 148 174 203 222 259 348 406 444 518 609 777 812 1036 1073 1218 1554 2146 2436 3001 3108 3219 4292 6002 6438 7511 9003 12004 12876 15022 18006 21007 22533 30044 36012 42014 45066 63021 84028 87029 90132 111037 126042 174058 222074 252084 261087 333111 348116 444148 522174 609203 666222 777259 1044348 1218406 1332444 1554518 1827609 2331777 2436812 3109036 3220073 3655218 4663554 6440146 7310436 9327108 9660219 12880292 19320438 22540511 38640876 45081022 67621533 90162044 135243066 270486132