Search a number
-
+
60201120 = 25357192341
BaseRepresentation
bin1110010110100…
…1100010100000
311012021112102010
43211221202200
5110402413440
65550152520
71330462320
oct345514240
9135245363
1060201120
1130a88aa1
12181b2740
13c61a685
147dd1280
155442580
hex39698a0

60201120 has 384 divisors, whose sum is σ = 243855360. Its totient is φ = 12165120.

The previous prime is 60201107. The next prime is 60201137. The reversal of 60201120 is 2110206.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 60201096 and 60201105.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1468300 + ... + 1468340.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 260201120 is an apocalyptic number.

60201120 is a gapful number since it is divisible by the number (60) 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 60201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

60201120 is an abundant number, since it is smaller than the sum of its proper divisors (183654240).

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

60201120 is a wasteful number, since it uses less digits than its factorization.

60201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 60201120 is about 7758.9380716693. The cubic root of 60201120 is about 391.9236974908.

Adding to 60201120 its reverse (2110206), we get a palindrome (62311326).

It can be divided in two parts, 6020 and 1120, that added together give a triangular number (7140 = T119).

The spelling of 60201120 in words is "sixty million, two hundred one thousand, one hundred twenty".