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6201120 = 253512919
BaseRepresentation
bin10111101001111100100000
3102200001100010
4113221330200
53041413440
6340524520
7103465032
oct27517440
912601303
106201120
113555aa2
1220b0740
131391703
14b75c52
15827580
hex5e9f20

6201120 has 48 divisors (see below), whose sum is σ = 19535040. Its totient is φ = 1653504.

The previous prime is 6201109. The next prime is 6201149. The reversal of 6201120 is 211026.

6201120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 6201096 and 6201105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5980 + ... + 6939.

It is an arithmetic number, because the mean of its divisors is an integer number (406980).

Almost surely, 26201120 is an apocalyptic number.

6201120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6201120 is an abundant number, since it is smaller than the sum of its proper divisors (13333920).

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

6201120 is a wasteful number, since it uses less digits than its factorization.

6201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12937 (or 12929 counting only the distinct ones).

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

The square root of 6201120 is about 2490.2048108539. The cubic root of 6201120 is about 183.7201163860.

Adding to 6201120 its reverse (211026), we get a palindrome (6412146).

The spelling of 6201120 in words is "six million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 12919 25838 38757 51676 64595 77514 103352 129190 155028 193785 206704 258380 310056 387570 413408 516760 620112 775140 1033520 1240224 1550280 2067040 3100560 6201120