Search a number
-
+
1003442250 = 235319671051
BaseRepresentation
bin111011110011110…
…101000001001010
32120221011010222210
4323303311001022
54023340123000
6243323125550
733603055416
oct7363650112
92527133883
101003442250
11475465018
122400738b6
1312cb73c15
14973a5d46
155d161350
hex3bcf504a

1003442250 has 128 divisors (see below), whose sum is σ = 2678307840. Its totient is φ = 249480000.

The previous prime is 1003442239. The next prime is 1003442291. The reversal of 1003442250 is 522443001.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954225 + ... + 955275.

It is an arithmetic number, because the mean of its divisors is an integer number (20924280).

Almost surely, 21003442250 is an apocalyptic number.

1003442250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003442250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339153920).

1003442250 is an abundant number, since it is smaller than the sum of its proper divisors (1674865590).

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

1003442250 is a wasteful number, since it uses less digits than its factorization.

1003442250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1003442250 is about 31677.1565958815. The cubic root of 1003442250 is about 1001.1461026136.

Adding to 1003442250 its reverse (522443001), we get a palindrome (1525885251).

The spelling of 1003442250 in words is "one billion, three million, four hundred forty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 67 75 95 114 125 134 150 190 201 250 285 335 375 402 475 570 670 750 950 1005 1051 1273 1425 1675 2010 2102 2375 2546 2850 3153 3350 3819 4750 5025 5255 6306 6365 7125 7638 8375 10050 10510 12730 14250 15765 16750 19095 19969 25125 26275 31530 31825 38190 39938 50250 52550 59907 63650 70417 78825 95475 99845 119814 131375 140834 157650 159125 190950 199690 211251 262750 299535 318250 352085 394125 422502 477375 499225 599070 704170 788250 954750 998450 1056255 1337923 1497675 1760425 2112510 2496125 2675846 2995350 3520850 4013769 4992250 5281275 6689615 7488375 8027538 8802125 10562550 13379230 14976750 17604250 20068845 26406375 33448075 40137690 52812750 66896150 100344225 167240375 200688450 334480750 501721125 1003442250