Search a number
-
+
1201242432 = 263131134259
BaseRepresentation
bin100011110011001…
…1000000101000000
310002201100102211110
41013212120011000
54430004224212
6315110443320
741524251345
oct10746300500
93081312743
101201242432
11567085245
12296363540
13161b3ab50
14b57747cc
15706d3a3c
hex47998140

1201242432 has 112 divisors (see below), whose sum is σ = 3453871680. Its totient is φ = 366256128.

The previous prime is 1201242431. The next prime is 1201242443. The reversal of 1201242432 is 2342421021.

It is a junction number, because it is equal to n+sod(n) for n = 1201242399 and 1201242408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201242431) 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, 279919 + ... + 284177.

It is an arithmetic number, because the mean of its divisors is an integer number (30838140).

Almost surely, 21201242432 is an apocalyptic number.

1201242432 is a gapful number since it is divisible by the number (12) 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 1201242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726935840).

1201242432 is an abundant number, since it is smaller than the sum of its proper divisors (2252629248).

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

1201242432 is a wasteful number, since it uses less digits than its factorization.

1201242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1201242432 is about 34658.9444732525. The cubic root of 1201242432 is about 1063.0251874098.

Adding to 1201242432 its reverse (2342421021), we get a palindrome (3543663453).

The spelling of 1201242432 in words is "one billion, two hundred one million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 113 156 192 208 226 312 339 416 452 624 678 832 904 1248 1356 1469 1808 2496 2712 2938 3616 4259 4407 5424 5876 7232 8518 8814 10848 11752 12777 17036 17628 21696 23504 25554 34072 35256 47008 51108 55367 68144 70512 94016 102216 110734 136288 141024 166101 204432 221468 272576 282048 332202 408864 442936 481267 664404 817728 885872 962534 1328808 1443801 1771744 1925068 2657616 2887602 3543488 3850136 5315232 5775204 6256471 7700272 10630464 11550408 12512942 15400544 18769413 23100816 25025884 30801088 37538826 46201632 50051768 75077652 92403264 100103536 150155304 200207072 300310608 400414144 600621216 1201242432