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1240201424 = 247112414177
BaseRepresentation
bin100100111101011…
…1111100011010000
310012102122202112002
41021322333203100
510014442421144
6323021453132
742506352410
oct11172774320
93172582462
101240201424
11587074760
122a74111a8
13169c2b8c7
14ba9d6640
1573d2c14e
hex49ebf8d0

1240201424 has 80 divisors (see below), whose sum is σ = 3008962176. Its totient is φ = 481075200.

The previous prime is 1240201411. The next prime is 1240201429. The reversal of 1240201424 is 4241020421.

It is a junction number, because it is equal to n+sod(n) for n = 1240201396 and 1240201405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240201429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294824 + ... + 299000.

Almost surely, 21240201424 is an apocalyptic number.

1240201424 is a gapful number since it is divisible by the number (14) 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 1240201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504481088).

1240201424 is an abundant number, since it is smaller than the sum of its proper divisors (1768760752).

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

1240201424 is a wasteful number, since it uses less digits than its factorization.

1240201424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1240201424 is about 35216.4936357951. The cubic root of 1240201424 is about 1074.3952391487.

Adding to 1240201424 its reverse (4241020421), we get a palindrome (5481221845).

The spelling of 1240201424 in words is "one billion, two hundred forty million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 241 308 482 616 964 1232 1687 1928 2651 3374 3856 4177 5302 6748 8354 10604 13496 16708 18557 21208 26992 29239 33416 37114 42416 45947 58478 66832 74228 91894 116956 148456 183788 233912 296912 321629 367576 467824 643258 735152 1006657 1286516 2013314 2573032 4026628 5146064 7046599 8053256 11073227 14093198 16106512 22146454 28186396 44292908 56372792 77512589 88585816 112745584 155025178 177171632 310050356 620100712 1240201424