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1241424 = 243237233
BaseRepresentation
bin100101111000101010000
32100001220200
410233011100
5304211144
642335200
713360212
oct4570520
92301820
101241424
11778778
124ba500
13346092
142445b2
15197c69
hex12f150

1241424 has 60 divisors (see below), whose sum is σ = 3583476. Its totient is φ = 400896.

The previous prime is 1241423. The next prime is 1241437. The reversal of 1241424 is 4241421.

1241424 is a `hidden beast` number, since 1 + 241 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 705600 + 535824 = 840^2 + 732^2 .

It is a super-2 number, since 2×12414242 = 3082267095552, which contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1241397 and 1241406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5212 + ... + 5444.

21241424 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 1241424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791738).

1241424 is an abundant number, since it is smaller than the sum of its proper divisors (2342052).

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

1241424 is a wasteful number, since it uses less digits than its factorization.

1241424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 1241424 is about 1114.1920839783. The cubic root of 1241424 is about 107.4748165274.

Adding to 1241424 its reverse (4241421), we get a palindrome (5482845).

The spelling of 1241424 in words is "one million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 233 296 333 444 466 592 666 699 888 932 1332 1398 1776 1864 2097 2664 2796 3728 4194 5328 5592 8388 8621 11184 16776 17242 25863 33552 34484 51726 68968 77589 103452 137936 155178 206904 310356 413808 620712 1241424