Search a number
-
+
203129064 = 233219714321
BaseRepresentation
bin11000001101110…
…00000011101000
3112011020000200200
430012320003220
5404000112224
632053432200
75014366005
oct1406700350
9464200620
10203129064
11a472a966
125803b660
1333111618
141cd988ac
1512c765c9
hexc1b80e8

203129064 has 48 divisors (see below), whose sum is σ = 552972420. Its totient is φ = 67361280.

The previous prime is 203129063. The next prime is 203129071. The reversal of 203129064 is 460921302.

It can be written as a sum of positive squares in 2 ways, for example, as 203062500 + 66564 = 14250^2 + 258^2 .

It is a super-2 number, since 2×2031290642 = 82522833283032192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203129063) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7024 + ... + 21344.

Almost surely, 2203129064 is an apocalyptic number.

203129064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

203129064 is an abundant number, since it is smaller than the sum of its proper divisors (349843356).

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

203129064 is a wasteful number, since it uses less digits than its factorization.

203129064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14530 (or 14523 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 203129064 is about 14252.3353875777. The cubic root of 203129064 is about 587.8375922422.

The spelling of 203129064 in words is "two hundred three million, one hundred twenty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 788 1182 1576 1773 2364 3546 4728 7092 14184 14321 28642 42963 57284 85926 114568 128889 171852 257778 343704 515556 1031112 2821237 5642474 8463711 11284948 16927422 22569896 25391133 33854844 50782266 67709688 101564532 203129064