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11422464 = 283107139
BaseRepresentation
bin101011100100…
…101100000000
3210111022200020
4223210230000
510411004324
61044453440
7166042434
oct53445400
923438606
1011422464
1164a1959
1239aa280
13249c171
1417349c4
151009679
hexae4b00

11422464 has 72 divisors (see below), whose sum is σ = 30905280. Its totient is φ = 3744768.

The previous prime is 11422451. The next prime is 11422471. The reversal of 11422464 is 46422411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82107 + ... + 82245.

It is an arithmetic number, because the mean of its divisors is an integer number (429240).

Almost surely, 211422464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11422464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452640).

11422464 is an abundant number, since it is smaller than the sum of its proper divisors (19482816).

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

11422464 is a wasteful number, since it uses less digits than its factorization.

11422464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 11422464 is about 3379.7135973334. The cubic root of 11422464 is about 225.2094444813.

Adding to 11422464 its reverse (46422411), we get a palindrome (57844875).

It can be divided in two parts, 114 and 22464, that added together give a triangular number (22578 = T212).

The spelling of 11422464 in words is "eleven million, four hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 139 192 214 256 278 321 384 417 428 556 642 768 834 856 1112 1284 1668 1712 2224 2568 3336 3424 4448 5136 6672 6848 8896 10272 13344 13696 14873 17792 20544 26688 27392 29746 35584 41088 44619 53376 59492 82176 89238 106752 118984 178476 237968 356952 475936 713904 951872 1427808 1903744 2855616 3807488 5711232 11422464