Search a number
-
+
5387156100 = 2234524315467
BaseRepresentation
bin1010000010001100…
…10111101010000100
3111220102212212220000
411001012113222010
542013102443400
62250321241300
7250333033314
oct50106275204
914812785800
105387156100
112314a00127
121064193230
1367b124041
14391681444
15217e2e600
hex141197a84

5387156100 has 180 divisors, whose sum is σ = 17870304144. Its totient is φ = 1403075520.

The previous prime is 5387156083. The next prime is 5387156101. The reversal of 5387156100 is 16517835.

5387156100 is a `hidden beast` number, since 5 + 38 + 7 + 1 + 5 + 610 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (5387156101) 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 59 ways as a sum of consecutive naturals, for example, 340567 + ... + 356033.

Almost surely, 25387156100 is an apocalyptic number.

5387156100 is a gapful number since it is divisible by the number (50) 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 5387156100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8935152072).

5387156100 is an abundant number, since it is smaller than the sum of its proper divisors (12483148044).

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

5387156100 is a wasteful number, since it uses less digits than its factorization.

5387156100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15536 (or 15520 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5387156100 is about 73397.2485860335. The cubic root of 5387156100 is about 1753.0185834344.

The spelling of 5387156100 in words is "five billion, three hundred eighty-seven million, one hundred fifty-six thousand, one hundred".