Search a number
-
+
1030400 = 2852723
BaseRepresentation
bin11111011100100000000
31221100102222
43323210000
5230433100
634030212
711521040
oct3734400
91840388
101030400
11644178
12418368
132a1007
141cb720
15155485
hexfb900

1030400 has 108 divisors (see below), whose sum is σ = 3041472. Its totient is φ = 337920.

The previous prime is 1030369. The next prime is 1030411. The reversal of 1030400 is 40301.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44789 + ... + 44811.

21030400 is an apocalyptic number.

1030400 is a gapful number since it is divisible by the number (10) 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 1030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520736).

1030400 is an abundant number, since it is smaller than the sum of its proper divisors (2011072).

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

1030400 is an equidigital number, since it uses as much as digits as its factorization.

1030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1030400 is about 1015.0862032360. The cubic root of 1030400 is about 101.0032348734.

Adding to 1030400 its reverse (40301), we get a palindrome (1070701).

Subtracting from 1030400 its reverse (40301), we obtain a palindrome (990099).

The spelling of 1030400 in words is "one million, thirty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 56 64 70 80 92 100 112 115 128 140 160 161 175 184 200 224 230 256 280 320 322 350 368 400 448 460 560 575 640 644 700 736 800 805 896 920 1120 1150 1280 1288 1400 1472 1600 1610 1792 1840 2240 2300 2576 2800 2944 3200 3220 3680 4025 4480 4600 5152 5600 5888 6400 6440 7360 8050 8960 9200 10304 11200 12880 14720 16100 18400 20608 22400 25760 29440 32200 36800 41216 44800 51520 64400 73600 103040 128800 147200 206080 257600 515200 1030400