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203472320 = 26517113331
BaseRepresentation
bin11000010000010…
…11110111000000
3112011212110112212
430020023313000
5404042103240
632105041252
75020325522
oct1410136700
9464773485
10203472320
11a4944847
1258186228
133320192c
141d047a12
1512ce3165
hexc20bdc0

203472320 has 112 divisors (see below), whose sum is σ = 519123168. Its totient is φ = 75694080.

The previous prime is 203472319. The next prime is 203472359. The reversal of 203472320 is 23274302.

It is a congruent number.

It is an unprimeable number.

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, 614555 + ... + 614885.

Almost surely, 2203472320 is an apocalyptic number.

203472320 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 203472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259561584).

203472320 is an abundant number, since it is smaller than the sum of its proper divisors (315650848).

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

203472320 is a wasteful number, since it uses less digits than its factorization.

203472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 203472320 is about 14264.3724011959. The cubic root of 203472320 is about 588.1685234329.

The spelling of 203472320 in words is "two hundred three million, four hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 113 136 160 170 226 272 320 331 340 452 544 565 662 680 904 1088 1130 1324 1360 1655 1808 1921 2260 2648 2720 3310 3616 3842 4520 5296 5440 5627 6620 7232 7684 9040 9605 10592 11254 13240 15368 18080 19210 21184 22508 26480 28135 30736 36160 37403 38420 45016 52960 56270 61472 74806 76840 90032 105920 112540 122944 149612 153680 180064 187015 225080 299224 307360 360128 374030 450160 598448 614720 635851 748060 900320 1196896 1271702 1496120 1800640 2393792 2543404 2992240 3179255 5086808 5984480 6358510 10173616 11968960 12717020 20347232 25434040 40694464 50868080 101736160 203472320