[go: up one dir, main page]

Search a number
-
+
27203040 = 253452099
BaseRepresentation
bin110011111000…
…1010111100000
31220012001120000
41213301113200
523430444130
62411020000
7450136104
oct147612740
956161500
1027203040
11143a0057
12913a600
135835b97
143881904
1525c5260
hex19f15e0

27203040 has 120 divisors (see below), whose sum is σ = 96049800. Its totient is φ = 7250688.

The previous prime is 27203017. The next prime is 27203053. The reversal of 27203040 is 4030272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 19 ways as a sum of consecutive naturals, for example, 11911 + ... + 14009.

It is an arithmetic number, because the mean of its divisors is an integer number (800415).

Almost surely, 227203040 is an apocalyptic number.

27203040 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 27203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48024900).

27203040 is an abundant number, since it is smaller than the sum of its proper divisors (68846760).

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

27203040 is a wasteful number, since it uses less digits than its factorization.

27203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 27203040 is about 5215.6533627150. The cubic root of 27203040 is about 300.7501228226.

The spelling of 27203040 in words is "twenty-seven million, two hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2099 2160 2592 3240 4198 4320 6297 6480 8396 10495 12594 12960 16792 18891 20990 25188 31485 33584 37782 41980 50376 56673 62970 67168 75564 83960 94455 100752 113346 125940 151128 167920 170019 188910 201504 226692 251880 283365 302256 335840 340038 377820 453384 503760 566730 604512 680076 755640 850095 906768 1007520 1133460 1360152 1511280 1700190 1813536 2266920 2720304 3022560 3400380 4533840 5440608 6800760 9067680 13601520 27203040