Search a number
-
+
101204640 = 2535519137
BaseRepresentation
bin1100000100001…
…00001010100000
321001102201200000
412002010022200
5201402022030
614013100000
72336140155
oct602041240
9231381600
10101204640
11521445a9
1229a87600
1317c75c04
14d62622c
158d41860
hex60842a0

101204640 has 288 divisors, whose sum is σ = 379753920. Its totient is φ = 25380864.

The previous prime is 101204633. The next prime is 101204641. The reversal of 101204640 is 46402101.

Adding to 101204640 its reverse (46402101), we get a palindrome (147606741).

101204640 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101204641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738652 + ... + 738788.

It is an arithmetic number, because the mean of its divisors is an integer number (1318590).

Almost surely, 2101204640 is an apocalyptic number.

101204640 is a gapful number since it is divisible by the number (10) 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 101204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189876960).

101204640 is an abundant number, since it is smaller than the sum of its proper divisors (278549280).

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

101204640 is a wasteful number, since it uses less digits than its factorization.

101204640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101204640 is about 10060.0516897280. The cubic root of 101204640 is about 466.0152634885.

The spelling of 101204640 in words is "one hundred one million, two hundred four thousand, six hundred forty".