Search a number
-
+
203250840 = 2335131131153
BaseRepresentation
bin11000001110101…
…01110010011000
3112011110012201220
430013111302120
5404013011330
632100212040
75015414022
oct1407256230
9464405656
10203250840
11a4803401
125809a020
1333154b90
141cdcb012
1512c9c710
hexc1d5c98

203250840 has 128 divisors (see below), whose sum is σ = 663042240. Its totient is φ = 49545216.

The previous prime is 203250833. The next prime is 203250893. The reversal of 203250840 is 48052302.

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

It is a self number, because there is not a number n which added to its sum of digits gives 203250840.

It is a congruent number.

It is an unprimeable number.

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, 175704 + ... + 176856.

Almost surely, 2203250840 is an apocalyptic number.

203250840 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 203250840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331521120).

203250840 is an abundant number, since it is smaller than the sum of its proper divisors (459791400).

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

203250840 is a wasteful number, since it uses less digits than its factorization.

203250840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 203250840 is about 14256.6068894390. The cubic root of 203250840 is about 587.9550384428.

The spelling of 203250840 in words is "two hundred three million, two hundred fifty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 113 120 130 156 195 226 260 312 339 390 452 520 565 678 780 904 1130 1153 1356 1469 1560 1695 2260 2306 2712 2938 3390 3459 4407 4520 4612 5765 5876 6780 6918 7345 8814 9224 11530 11752 13560 13836 14690 14989 17295 17628 22035 23060 27672 29380 29978 34590 35256 44070 44967 46120 58760 59956 69180 74945 88140 89934 119912 130289 138360 149890 176280 179868 224835 260578 299780 359736 390867 449670 521156 599560 651445 781734 899340 1042312 1302890 1563468 1693757 1798680 1954335 2605780 3126936 3387514 3908670 5081271 5211560 6775028 7817340 8468785 10162542 13550056 15634680 16937570 20325084 25406355 33875140 40650168 50812710 67750280 101625420 203250840