Search a number
-
+
1405031325 = 352532831249
BaseRepresentation
bin101001110111111…
…0001001110011101
310121220210222122020
41103233301032131
510334142000300
6351230410353
746550366145
oct12357611635
93556728566
101405031325
11661115915
123326609b9
131951208a9
14d4861925
158353a8a0
hex53bf139d

1405031325 has 48 divisors (see below), whose sum is σ = 2377080000. Its totient is φ = 732026880.

The previous prime is 1405031297. The next prime is 1405031333. The reversal of 1405031325 is 5231305041.

It is not a de Polignac number, because 1405031325 - 218 = 1404769181 is a prime.

It is a super-2 number, since 2×14050313252 = 3948226048462511250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1405031295 and 1405031304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124301 + ... + 1125549.

It is an arithmetic number, because the mean of its divisors is an integer number (49522500).

Almost surely, 21405031325 is an apocalyptic number.

1405031325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1405031325 is a deficient number, since it is larger than the sum of its proper divisors (972048675).

1405031325 is a wasteful number, since it uses less digits than its factorization.

1405031325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1405031325 is about 37483.7474780737. The cubic root of 1405031325 is about 1120.0274560127.

Adding to 1405031325 its reverse (5231305041), we get a palindrome (6636336366).

The spelling of 1405031325 in words is "one billion, four hundred five million, thirty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 53 75 159 265 283 795 849 1249 1325 1415 3747 3975 4245 6245 7075 14999 18735 21225 31225 44997 66197 74995 93675 198591 224985 330985 353467 374975 992955 1060401 1124925 1654925 1767335 4964775 5302005 8836675 18733751 26510025 56201253 93668755 281006265 468343775 1405031325