Search a number
-
+
5340032412 = 223111311327539
BaseRepresentation
bin1001111100100101…
…00110110110011100
3111210011012202100020
410332102212312130
541414022014122
62241515232140
7246221345421
oct47622466634
914704182306
105340032412
1122a0344430
121050448650
13671434bc0
143892d5d48
15213c21c5c
hex13e4a6d9c

5340032412 has 96 divisors (see below), whose sum is σ = 14768490240. Its totient is φ = 1480442880.

The previous prime is 5340032393. The next prime is 5340032419. The reversal of 5340032412 is 2142300435.

It is a super-2 number, since 2×53400324122 = 57031892322421075488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340032419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180139 + ... + 207677.

It is an arithmetic number, because the mean of its divisors is an integer number (153838440).

Almost surely, 25340032412 is an apocalyptic number.

5340032412 is a gapful number since it is divisible by the number (52) 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 5340032412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384245120).

5340032412 is an abundant number, since it is smaller than the sum of its proper divisors (9428457828).

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

5340032412 is a wasteful number, since it uses less digits than its factorization.

5340032412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27683 (or 27681 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 5340032412 is about 73075.5253966744. The cubic root of 5340032412 is about 1747.8921464349.

Adding to 5340032412 its reverse (2142300435), we get a palindrome (7482332847).

The spelling of 5340032412 in words is "five billion, three hundred forty million, thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 113 132 143 156 226 286 339 429 452 572 678 858 1243 1356 1469 1716 2486 2938 3729 4407 4972 5876 7458 8814 14916 16159 17628 27539 32318 48477 55078 64636 82617 96954 110156 165234 193908 302929 330468 358007 605858 716014 908787 1074021 1211716 1432028 1817574 2148042 3111907 3635148 3938077 4296084 6223814 7876154 9335721 11814231 12447628 15752308 18671442 23628462 34230977 37342884 40454791 47256924 68461954 80909582 102692931 121364373 136923908 161819164 205385862 242728746 410771724 445002701 485457492 890005402 1335008103 1780010804 2670016206 5340032412