Search a number
-
+
1403133300 = 2233524711057
BaseRepresentation
bin101001110100010…
…0001110101110100
310121210020120001000
41103220201311310
510333200231200
6351122003300
746525302432
oct12350416564
93553216030
101403133300
116600398a8
12331aa6530
131949079ba
14d44c9d52
15832b3300
hex53a21d74

1403133300 has 144 divisors (see below), whose sum is σ = 4607205120. Its totient is φ = 366174720.

The previous prime is 1403133293. The next prime is 1403133341. The reversal of 1403133300 is 33313041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121372 + ... + 132428.

It is an arithmetic number, because the mean of its divisors is an integer number (31994480).

Almost surely, 21403133300 is an apocalyptic number.

1403133300 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 1403133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303602560).

1403133300 is an abundant number, since it is smaller than the sum of its proper divisors (3204071820).

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

1403133300 is a wasteful number, since it uses less digits than its factorization.

1403133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11127 (or 11114 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1403133300 is about 37458.4209491004. The cubic root of 1403133300 is about 1119.5228888326.

Adding to 1403133300 its reverse (33313041), we get a palindrome (1436446341).

The spelling of 1403133300 in words is "one billion, four hundred three million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 47 50 54 60 75 90 94 100 108 135 141 150 180 188 225 235 270 282 300 423 450 470 540 564 675 705 846 900 940 1175 1269 1350 1410 1692 2115 2350 2538 2700 2820 3525 4230 4700 5076 6345 7050 8460 10575 11057 12690 14100 21150 22114 25380 31725 33171 42300 44228 55285 63450 66342 99513 110570 126900 132684 165855 199026 221140 276425 298539 331710 398052 497565 519679 552850 597078 663420 829275 995130 1039358 1105700 1194156 1492695 1559037 1658550 1990260 2078716 2487825 2598395 2985390 3118074 3317100 4677111 4975650 5196790 5970780 6236148 7463475 7795185 9354222 9951300 10393580 12991975 14031333 14926950 15590370 18708444 23385555 25983950 28062666 29853900 31180740 38975925 46771110 51967900 56125332 70156665 77951850 93542220 116927775 140313330 155903700 233855550 280626660 350783325 467711100 701566650 1403133300