Search a number
-
+
275973024 = 25319712131
BaseRepresentation
bin10000011100110…
…000001110100000
3201020021212211010
4100130300032200
51031122114044
643215020520
76560506035
oct2034601640
9636255733
10275973024
11131863688
127850a740
1345237762
142891b38c
1519364bb9
hex107303a0

275973024 has 96 divisors (see below), whose sum is σ = 773660160. Its totient is φ = 85881600.

The previous prime is 275973023. The next prime is 275973041. The reversal of 275973024 is 420379572.

275973024 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 (96).

It is a super-2 number, since 2×2759730242 = 152322219951409152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (275973023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128439 + ... + 130569.

It is an arithmetic number, because the mean of its divisors is an integer number (8058960).

Almost surely, 2275973024 is an apocalyptic number.

275973024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275973024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386830080).

275973024 is an abundant number, since it is smaller than the sum of its proper divisors (497687136).

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

275973024 is a wasteful number, since it uses less digits than its factorization.

275973024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 275973024 is about 16612.4358238038. The cubic root of 275973024 is about 651.0617943659.

The spelling of 275973024 in words is "two hundred seventy-five million, nine hundred seventy-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 71 76 96 114 142 152 213 228 284 304 426 456 568 608 852 912 1136 1349 1704 1824 2131 2272 2698 3408 4047 4262 5396 6393 6816 8094 8524 10792 12786 16188 17048 21584 25572 32376 34096 40489 43168 51144 64752 68192 80978 102288 121467 129504 151301 161956 204576 242934 302602 323912 453903 485868 605204 647824 907806 971736 1210408 1295648 1815612 1943472 2420816 2874719 3631224 3886944 4841632 5749438 7262448 8624157 11498876 14524896 17248314 22997752 34496628 45995504 68993256 91991008 137986512 275973024