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11430480 = 243597491
BaseRepresentation
bin101011100110…
…101001010000
3210111201200010
4223212221100
510411233410
61044554520
7166105005
oct53465120
923451603
1011430480
1164a7986
1239b2a40
1324a29c9
1417378ac
15100bc20
hexae6a50

11430480 has 80 divisors (see below), whose sum is σ = 35872704. Its totient is φ = 3010560.

The previous prime is 11430479. The next prime is 11430481. The reversal of 11430480 is 8403411.

It is an interprime number because it is at equal distance from previous prime (11430479) and next prime (11430481).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11430481) by changing a digit.

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, 23035 + ... + 23525.

Almost surely, 211430480 is an apocalyptic number.

11430480 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 11430480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17936352).

11430480 is an abundant number, since it is smaller than the sum of its proper divisors (24442224).

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

11430480 is a wasteful number, since it uses less digits than its factorization.

11430480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 11430480 is about 3380.8992886509. The cubic root of 11430480 is about 225.2621142839.

Adding to 11430480 its reverse (8403411), we get a palindrome (19833891).

The spelling of 11430480 in words is "eleven million, four hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 491 582 776 970 982 1164 1455 1473 1552 1940 1964 2328 2455 2910 2946 3880 3928 4656 4910 5820 5892 7365 7760 7856 9820 11640 11784 14730 19640 23280 23568 29460 39280 47627 58920 95254 117840 142881 190508 238135 285762 381016 476270 571524 714405 762032 952540 1143048 1428810 1905080 2286096 2857620 3810160 5715240 11430480