Search a number
-
+
245538240 = 26352511019
BaseRepresentation
bin11101010001010…
…01110111000000
3122010000122010220
432220221313000
51000324210430
640210423040
76041016633
oct1650516700
9563018126
10245538240
11116666572
126a291a80
133bb3c8cc
1424877c1a
1516852110
hexea29dc0

245538240 has 112 divisors (see below), whose sum is σ = 783457920. Its totient is φ = 65152000.

The previous prime is 245538229. The next prime is 245538257. The reversal of 245538240 is 42835542.

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 15 ways as a sum of consecutive naturals, for example, 240451 + ... + 241469.

It is an arithmetic number, because the mean of its divisors is an integer number (6995160).

Almost surely, 2245538240 is an apocalyptic number.

245538240 is a gapful number since it is divisible by the number (20) 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 245538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391728960).

245538240 is an abundant number, since it is smaller than the sum of its proper divisors (537919680).

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

245538240 is a wasteful number, since it uses less digits than its factorization.

245538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 245538240 is about 15669.6598559126. The cubic root of 245538240 is about 626.1903628853.

The spelling of 245538240 in words is "two hundred forty-five million, five hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 251 320 480 502 753 960 1004 1019 1255 1506 2008 2038 2510 3012 3057 3765 4016 4076 5020 5095 6024 6114 7530 8032 8152 10040 10190 12048 12228 15060 15285 16064 16304 20080 20380 24096 24456 30120 30570 32608 40160 40760 48192 48912 60240 61140 65216 80320 81520 97824 120480 122280 163040 195648 240960 244560 255769 326080 489120 511538 767307 978240 1023076 1278845 1534614 2046152 2557690 3069228 3836535 4092304 5115380 6138456 7673070 8184608 10230760 12276912 15346140 16369216 20461520 24553824 30692280 40923040 49107648 61384560 81846080 122769120 245538240