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203132070 = 23353732017
BaseRepresentation
bin11000001101110…
…00110010100110
3112011020011211000
430012320302212
5404000211240
632053454130
75014410531
oct1406706246
9464204730
10203132070
11a4732149
1258041346
1333112abb
141cd99a18
1512c77430
hexc1b8ca6

203132070 has 64 divisors (see below), whose sum is σ = 543407040. Its totient is φ = 53996544.

The previous prime is 203132053. The next prime is 203132071. The reversal of 203132070 is 70231302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203132071) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 99702 + ... + 101718.

It is an arithmetic number, because the mean of its divisors is an integer number (8490735).

Almost surely, 2203132070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203132070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271703520).

203132070 is an abundant number, since it is smaller than the sum of its proper divisors (340274970).

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

203132070 is a wasteful number, since it uses less digits than its factorization.

203132070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 203132070 is about 14252.4408435889. The cubic root of 203132070 is about 587.8404919275.

Adding to 203132070 its reverse (70231302), we get a palindrome (273363372).

The spelling of 203132070 in words is "two hundred three million, one hundred thirty-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 373 746 1119 1865 2017 2238 3357 3730 4034 5595 6051 6714 10071 10085 11190 12102 16785 18153 20142 20170 30255 33570 36306 50355 54459 60510 90765 100710 108918 181530 272295 544590 752341 1504682 2257023 3761705 4514046 6771069 7523410 11285115 13542138 20313207 22570230 33855345 40626414 67710690 101566035 203132070