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203020272 = 243271315493
BaseRepresentation
bin11000001100111…
…01011111110000
3112011000111110100
430012131133300
5403433122042
632051232400
75013433560
oct1406353760
9464014410
10203020272
11a4666154
1257ba8700
13330a3c50
141cd6ada0
1512c5424c
hexc19d7f0

203020272 has 120 divisors (see below), whose sum is σ = 699337184. Its totient is φ = 53540352.

The previous prime is 203020253. The next prime is 203020309. The reversal of 203020272 is 272020302.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5358 + ... + 20850.

Almost surely, 2203020272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203020272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349668592).

203020272 is an abundant number, since it is smaller than the sum of its proper divisors (496316912).

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

203020272 is a wasteful number, since it uses less digits than its factorization.

203020272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15527 (or 15518 counting only the distinct ones).

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

The square root of 203020272 is about 14248.5182387503. The cubic root of 203020272 is about 587.7326286841.

Adding to 203020272 its reverse (272020302), we get a palindrome (475040574).

The spelling of 203020272 in words is "two hundred three million, twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 15493 30986 46479 61972 92958 108451 123944 139437 185916 201409 216902 247888 278874 325353 371832 402818 433804 557748 604227 650706 743664 805636 867608 976059 1115496 1208454 1301412 1409863 1611272 1735216 1812681 1952118 2230992 2416908 2602824 2819726 3222544 3625362 3904236 4229589 4833816 5205648 5639452 7250724 7808472 8459178 9667632 11278904 12688767 14501448 15616944 16918356 22557808 25377534 29002896 33836712 50755068 67673424 101510136 203020272