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203135424 = 2636715791
BaseRepresentation
bin11000001101110…
…01100111000000
3112011020100102020
430012321213000
5404000313144
632053521440
75014423362
oct1406714700
9464210366
10203135424
11a4734718
1258043280
133311449b
141cd9ad32
1512c78419
hexc1b99c0

203135424 has 56 divisors (see below), whose sum is σ = 545518848. Its totient is φ = 66696960.

The previous prime is 203135417. The next prime is 203135477. The reversal of 203135424 is 424531302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 203135394 and 203135403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4969 + ... + 20759.

It is an arithmetic number, because the mean of its divisors is an integer number (9741408).

Almost surely, 2203135424 is an apocalyptic number.

203135424 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 203135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272759424).

203135424 is an abundant number, since it is smaller than the sum of its proper divisors (342383424).

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

203135424 is a wasteful number, since it uses less digits than its factorization.

203135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15873 (or 15863 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 203135424 is about 14252.5585071593. The cubic root of 203135424 is about 587.8437272711.

Adding to 203135424 its reverse (424531302), we get a palindrome (627666726).

The spelling of 203135424 in words is "two hundred three million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 3216 4288 6432 12864 15791 31582 47373 63164 94746 126328 189492 252656 378984 505312 757968 1010624 1057997 1515936 2115994 3031872 3173991 4231988 6347982 8463976 12695964 16927952 25391928 33855904 50783856 67711808 101567712 203135424