Search a number
-
+
1220838541 = 131635711009
BaseRepresentation
bin100100011000100…
…1000010010001101
310011002020000122021
41020301020102031
510000013313131
6321050450141
742152646016
oct11061102215
93132200567
101220838541
1157714a07a
122a0a33951
13165c0c490
14b81d600d
15722a4e11
hex48c4848d

1220838541 has 16 divisors (see below), whose sum is σ = 1326445120. Its totient is φ = 1116944640.

The previous prime is 1220838457. The next prime is 1220838547. The reversal of 1220838541 is 1458380221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1220838541 - 29 = 1220838029 is a prime.

It is the 34941-st Hogben number.

It is a junction number, because it is equal to n+sod(n) for n = 1220838497 and 1220838506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220838547) by changing a digit.

It is a nontrivial repunit in base 34940.

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, 1209445 + ... + 1210453.

It is an arithmetic number, because the mean of its divisors is an integer number (82902820).

Almost surely, 21220838541 is an apocalyptic number.

It is an amenable number.

1220838541 is a deficient number, since it is larger than the sum of its proper divisors (105606579).

1220838541 is a wasteful number, since it uses less digits than its factorization.

1220838541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756.

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 1220838541 is about 34940.5000107325. The cubic root of 1220838541 is about 1068.7744844612.

The spelling of 1220838541 in words is "one billion, two hundred twenty million, eight hundred thirty-eight thousand, five hundred forty-one".

Divisors: 1 13 163 571 1009 2119 7423 13117 93073 164467 576139 1209949 2138071 7489807 93910657 1220838541