Search a number
-
+
203303680 = 285179343
BaseRepresentation
bin11000001111000…
…10101100000000
3112011112220012221
430013202230000
5404021204210
632101300424
75016024046
oct1407425400
9464486187
10203303680
11a483a078
1258104714
1333172c48
141d002396
1512cad1da
hexc1e2b00

203303680 has 72 divisors (see below), whose sum is σ = 515676672. Its totient is φ = 76529664.

The previous prime is 203303671. The next prime is 203303713. The reversal of 203303680 is 86303302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17089 + ... + 26431.

It is an arithmetic number, because the mean of its divisors is an integer number (7162176).

Almost surely, 2203303680 is an apocalyptic number.

203303680 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 203303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257838336).

203303680 is an abundant number, since it is smaller than the sum of its proper divisors (312372992).

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

203303680 is an equidigital number, since it uses as much as digits as its factorization.

203303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9381 (or 9367 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 203303680 is about 14258.4599448889. The cubic root of 203303680 is about 588.0059850996.

Adding to 203303680 its reverse (86303302), we get a palindrome (289606982).

The spelling of 203303680 in words is "two hundred three million, three hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 9343 10880 18686 21760 37372 46715 74744 93430 149488 158831 186860 298976 317662 373720 597952 635324 747440 794155 1195904 1270648 1494880 1588310 2391808 2541296 2989760 3176620 5082592 5979520 6353240 10165184 11959040 12706480 20330368 25412960 40660736 50825920 101651840 203303680