Search a number
-
+
275134272 = 2637414993
BaseRepresentation
bin10000011001100…
…011011101000000
3201011201021021020
4100121203131000
51030413244042
643145025440
76550413510
oct2031433500
9634637236
10275134272
111313404a6
1278185280
1345002a5a
142877d840
151924b3ec
hex10663740

275134272 has 112 divisors (see below), whose sum is σ = 852415872. Its totient is φ = 76677120.

The previous prime is 275134271. The next prime is 275134291. The reversal of 275134272 is 272431572.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275134271) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52608 + ... + 57600.

It is an arithmetic number, because the mean of its divisors is an integer number (7610856).

Almost surely, 2275134272 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 275134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426207936).

275134272 is an abundant number, since it is smaller than the sum of its proper divisors (577281600).

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

275134272 is a wasteful number, since it uses less digits than its factorization.

275134272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5046 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 275134272 is about 16587.1719108472. The cubic root of 275134272 is about 650.4015443955.

The spelling of 275134272 in words is "two hundred seventy-five million, one hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 164 168 192 224 246 287 328 336 448 492 574 656 672 861 984 1148 1312 1344 1722 1968 2296 2624 3444 3936 4592 4993 6888 7872 9184 9986 13776 14979 18368 19972 27552 29958 34951 39944 55104 59916 69902 79888 104853 119832 139804 159776 204713 209706 239664 279608 319552 409426 419412 479328 559216 614139 818852 838824 958656 1118432 1228278 1432991 1637704 1677648 2236864 2456556 2865982 3275408 3355296 4298973 4913112 5731964 6550816 6710592 8597946 9826224 11463928 13101632 17195892 19652448 22927856 34391784 39304896 45855712 68783568 91711424 137567136 275134272