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203252040 = 233251513739
BaseRepresentation
bin11000001110101…
…10000101001000
3112011110021101100
430013112011020
5404013031130
632100221400
75015420355
oct1407260510
9464407340
10203252040
11a48042a2
125809a860
13331555a4
141cdcb62c
1512c9cc60
hexc1d6148

203252040 has 96 divisors (see below), whose sum is σ = 665121600. Its totient is φ = 53827200.

The previous prime is 203252029. The next prime is 203252087. The reversal of 203252040 is 40252302.

It is a super-2 number, since 2×2032520402 = 82622783528323200, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 52491 + ... + 56229.

It is an arithmetic number, because the mean of its divisors is an integer number (6928350).

Almost surely, 2203252040 is an apocalyptic number.

203252040 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 203252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332560800).

203252040 is an abundant number, since it is smaller than the sum of its proper divisors (461869560).

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

203252040 is a wasteful number, since it uses less digits than its factorization.

203252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 203252040 is about 14256.6489751274. The cubic root of 203252040 is about 587.9561955428.

The spelling of 203252040 in words is "two hundred three million, two hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 151 180 302 360 453 604 755 906 1208 1359 1510 1812 2265 2718 3020 3624 3739 4530 5436 6040 6795 7478 9060 10872 11217 13590 14956 18120 18695 22434 27180 29912 33651 37390 44868 54360 56085 67302 74780 89736 112170 134604 149560 168255 224340 269208 336510 448680 564589 673020 1129178 1346040 1693767 2258356 2822945 3387534 4516712 5081301 5645890 6775068 8468835 10162602 11291780 13550136 16937670 20325204 22583560 25406505 33875340 40650408 50813010 67750680 101626020 203252040