Search a number
-
+
1002505413 = 37133672181
BaseRepresentation
bin111011110000010…
…000010011000101
32120212101112220010
4323300100103011
54023120133123
6243251100433
733562104210
oct7360202305
92525345803
101002505413
11474985178
1223b8a1719
1312c906690
1497200777
155d028993
hex3bc104c5

1002505413 has 16 divisors (see below), whose sum is σ = 1645137536. Its totient is φ = 528793920.

The previous prime is 1002505369. The next prime is 1002505421. The reversal of 1002505413 is 3145052001.

It is not a de Polignac number, because 1002505413 - 26 = 1002505349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1002505413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002505433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1835818 + ... + 1836363.

It is an arithmetic number, because the mean of its divisors is an integer number (102821096).

Almost surely, 21002505413 is an apocalyptic number.

1002505413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1002505413 is a deficient number, since it is larger than the sum of its proper divisors (642632123).

1002505413 is a wasteful number, since it uses less digits than its factorization.

1002505413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672204.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1002505413 is about 31662.3658781210. The cubic root of 1002505413 is about 1000.8344411809.

Adding to 1002505413 its reverse (3145052001), we get a palindrome (4147557414).

The spelling of 1002505413 in words is "one billion, two million, five hundred five thousand, four hundred thirteen".

Divisors: 1 3 7 13 21 39 91 273 3672181 11016543 25705267 47738353 77115801 143215059 334168471 1002505413