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11413440 = 263351321
BaseRepresentation
bin101011100010…
…011111000000
3210110212022000
4223202133000
510410212230
61044344000
7166004223
oct53423700
923425260
1011413440
1164960a5
1239a5000
13249801c
1417315ba
151006b60
hexae27c0

11413440 has 112 divisors (see below), whose sum is σ = 40294560. Its totient is φ = 3041280.

The previous prime is 11413417. The next prime is 11413453. The reversal of 11413440 is 4431411.

It is a super-2 number, since 2×114134402 = 260533225267200, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7980 + ... + 9300.

Almost surely, 211413440 is an apocalyptic number.

11413440 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 11413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20147280).

11413440 is an abundant number, since it is smaller than the sum of its proper divisors (28881120).

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

11413440 is a wasteful number, since it uses less digits than its factorization.

11413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11413440 is about 3378.3783091892. The cubic root of 11413440 is about 225.1501220372.

Adding to 11413440 its reverse (4431411), we get a palindrome (15844851).

The spelling of 11413440 in words is "eleven million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1321 1440 1728 2160 2642 2880 3963 4320 5284 6605 7926 8640 10568 11889 13210 15852 19815 21136 23778 26420 31704 35667 39630 42272 47556 52840 59445 63408 71334 79260 84544 95112 105680 118890 126816 142668 158520 178335 190224 211360 237780 253632 285336 317040 356670 380448 422720 475560 570672 634080 713340 760896 951120 1141344 1268160 1426680 1902240 2282688 2853360 3804480 5706720 11413440