Search a number
-
+
11451420 = 22325113563
BaseRepresentation
bin101011101011…
…110000011100
3210112210101200
4223223300130
510412421140
61045235500
7166223031
oct53536034
923483350
1011451420
116511692
123a02b90
1324ac3b6
141741388
151013030
hexaebc1c

11451420 has 72 divisors (see below), whose sum is σ = 35105616. Its totient is φ = 3021312.

The previous prime is 11451403. The next prime is 11451449. The reversal of 11451420 is 2415411.

It is a super-2 number, since 2×114514202 = 262270040032800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11451393 and 11451402.

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 23 ways as a sum of consecutive naturals, for example, 20059 + ... + 20621.

It is an arithmetic number, because the mean of its divisors is an integer number (487578).

Almost surely, 211451420 is an apocalyptic number.

11451420 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 11451420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17552808).

11451420 is an abundant number, since it is smaller than the sum of its proper divisors (23654196).

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

11451420 is a wasteful number, since it uses less digits than its factorization.

11451420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 11451420 is about 3383.9946808469. The cubic root of 11451420 is about 225.3995862355.

Adding to 11451420 its reverse (2415411), we get a palindrome (13866831).

The spelling of 11451420 in words is "eleven million, four hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 563 565 678 1017 1126 1130 1356 1689 1695 2034 2252 2260 2815 3378 3390 4068 5067 5085 5630 6756 6780 8445 10134 10170 11260 16890 20268 20340 25335 33780 50670 63619 101340 127238 190857 254476 318095 381714 572571 636190 763428 954285 1145142 1272380 1908570 2290284 2862855 3817140 5725710 11451420