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203375424 = 26373892
BaseRepresentation
bin11000001111101…
…00001101000000
3112011200112122010
430013310031000
5404031003144
632103012520
75016443160
oct1407641500
9464615563
10203375424
11a4888a6a
125813a140
13331997b5
141d0205a0
1512cc45b9
hexc1f4340

203375424 has 84 divisors (see below), whose sum is σ = 616553504. Its totient is φ = 57957888.

The previous prime is 203375383. The next prime is 203375441. The reversal of 203375424 is 424573302.

It is a tau number, because it is divible by the number of its divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 203375391 and 203375400.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 522622 + ... + 523010.

Almost surely, 2203375424 is an apocalyptic number.

203375424 is a gapful number since it is divisible by the number (24) 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 203375424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308276752).

203375424 is an abundant number, since it is smaller than the sum of its proper divisors (413178080).

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

203375424 is an frugal number, since it uses more digits than its factorization.

203375424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 203375424 is about 14260.9755627026. The cubic root of 203375424 is about 588.0751442675.

The spelling of 203375424 in words is "two hundred three million, three hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 389 448 672 778 1167 1344 1556 2334 2723 3112 4668 5446 6224 8169 9336 10892 12448 16338 18672 21784 24896 32676 37344 43568 65352 74688 87136 130704 151321 174272 261408 302642 453963 522816 605284 907926 1059247 1210568 1815852 2118494 2421136 3177741 3631704 4236988 4842272 6355482 7263408 8473976 9684544 12710964 14526816 16947952 25421928 29053632 33895904 50843856 67791808 101687712 203375424