Search a number
-
+
11412480 = 21035743
BaseRepresentation
bin101011100010…
…010000000000
3210110210222110
4223202100000
510410144410
61044335320
7166001352
oct53422000
923423873
1011412480
116495402
1239a4540
132497761
1417310d2
151006720
hexae2400

11412480 has 88 divisors (see below), whose sum is σ = 36551232. Its totient is φ = 3039232.

The previous prime is 11412463. The next prime is 11412497. The reversal of 11412480 is 8421411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11412463) and next prime (11412497).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14989 + ... + 15731.

Almost surely, 211412480 is an apocalyptic number.

11412480 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 11412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18275616).

11412480 is an abundant number, since it is smaller than the sum of its proper divisors (25138752).

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

11412480 is an equidigital number, since it uses as much as digits as its factorization.

11412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 11412480 is about 3378.2362261985. The cubic root of 11412480 is about 225.1438092989.

Adding to 11412480 its reverse (8421411), we get a palindrome (19833891).

The spelling of 11412480 in words is "eleven million, four hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 743 768 960 1024 1280 1486 1536 1920 2229 2560 2972 3072 3715 3840 4458 5120 5944 7430 7680 8916 11145 11888 14860 15360 17832 22290 23776 29720 35664 44580 47552 59440 71328 89160 95104 118880 142656 178320 190208 237760 285312 356640 380416 475520 570624 713280 760832 951040 1141248 1426560 1902080 2282496 2853120 3804160 5706240 11412480