Search a number
-
+
5369541120 = 293251713709
BaseRepresentation
bin1010000000000110…
…01011001000000000
3111212012201221200100
411000003023020000
541444100303440
62244451522400
7250030226556
oct50003131000
914765657610
105369541120
112305a69799
12105a2b9400
13677597388
1438d1b7bd6
15216600230
hex1400cb200

5369541120 has 240 divisors, whose sum is σ = 19691563320. Its totient is φ = 1347551232.

The previous prime is 5369541109. The next prime is 5369541131. The reversal of 5369541120 is 211459635.

5369541120 is a `hidden beast` number, since 53 + 69 + 541 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5369541109) and next prime (5369541131).

It can be written as a sum of positive squares in 4 ways, for example, as 5302169856 + 67371264 = 72816^2 + 8208^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384826 + ... + 398534.

Almost surely, 25369541120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5369541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9845781660).

5369541120 is an abundant number, since it is smaller than the sum of its proper divisors (14322022200).

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

5369541120 is a wasteful number, since it uses less digits than its factorization.

5369541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13755 (or 13736 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5369541120 is about 73277.1527831151. The cubic root of 5369541120 is about 1751.1058175540.

The spelling of 5369541120 in words is "five billion, three hundred sixty-nine million, five hundred forty-one thousand, one hundred twenty".