Search a number
-
+
11487420 = 2234571013
BaseRepresentation
bin101011110100…
…100010111100
3210121121210000
4223310202330
510420044140
61050114300
7166433010
oct53644274
923547700
1011487420
11653673a
123a1b990
1324c28b9
141750540
15101da30
hexaf48bc

11487420 has 120 divisors (see below), whose sum is σ = 41225184. Its totient is φ = 2623104.

The previous prime is 11487403. The next prime is 11487431. The reversal of 11487420 is 2478411.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 10834 + ... + 11846.

Almost surely, 211487420 is an apocalyptic number.

11487420 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 11487420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20612592).

11487420 is an abundant number, since it is smaller than the sum of its proper divisors (29737764).

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

11487420 is a wasteful number, since it uses less digits than its factorization.

11487420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 11487420 is about 3389.3096642237. The cubic root of 11487420 is about 225.6355365025.

Subtracting from 11487420 its reverse (2478411), we obtain a palindrome (9009009).

It can be divided in two parts, 114 and 87420, that multiplied together give a triangular number (9965880 = T4464).

The spelling of 11487420 in words is "eleven million, four hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1013 1134 1260 1620 1890 2026 2268 2835 3039 3780 4052 5065 5670 6078 7091 9117 10130 11340 12156 14182 15195 18234 20260 21273 27351 28364 30390 35455 36468 42546 45585 54702 60780 63819 70910 82053 85092 91170 106365 109404 127638 136755 141820 164106 182340 191457 212730 255276 273510 319095 328212 382914 410265 425460 547020 574371 638190 765828 820530 957285 1148742 1276380 1641060 1914570 2297484 2871855 3829140 5743710 11487420