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203254040 = 235111729937
BaseRepresentation
bin11000001110101…
…10100100011000
3112011110101010102
430013112210120
5404013112130
632100234532
75015426243
oct1407264430
9464411112
10203254040
11a4805850
125809ba48
1333156482
141cdcc25a
1512c9d645
hexc1d6918

203254040 has 128 divisors (see below), whose sum is σ = 547041600. Its totient is φ = 67092480.

The previous prime is 203254031. The next prime is 203254063. The reversal of 203254040 is 40452302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216452 + ... + 217388.

Almost surely, 2203254040 is an apocalyptic number.

203254040 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 203254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273520800).

203254040 is an abundant number, since it is smaller than the sum of its proper divisors (343787560).

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

203254040 is a wasteful number, since it uses less digits than its factorization.

203254040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 203254040 is about 14256.7191176652. The cubic root of 203254040 is about 587.9581240327.

The spelling of 203254040 in words is "two hundred three million, two hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 29 34 40 44 55 58 68 85 88 110 116 136 145 170 187 220 232 290 319 340 374 440 493 580 638 680 748 935 937 986 1160 1276 1496 1595 1870 1874 1972 2465 2552 3190 3740 3748 3944 4685 4930 5423 6380 7480 7496 9370 9860 10307 10846 12760 15929 18740 19720 20614 21692 27115 27173 31858 37480 41228 43384 51535 54230 54346 63716 79645 82456 103070 108460 108692 127432 135865 159290 175219 206140 216920 217384 271730 298903 318580 350438 412280 461941 543460 597806 637160 700876 876095 923882 1086920 1195612 1401752 1494515 1752190 1847764 2309705 2391224 2989030 3504380 3695528 4619410 5081351 5978060 7008760 9238820 10162702 11956120 18477640 20325404 25406755 40650808 50813510 101627020 203254040