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6113120 = 255132939
BaseRepresentation
bin10111010100011101100000
3102111120121212
4113110131200
53031104440
6335005252
7102650336
oct27243540
912446555
106113120
1134a5972
122069828
131360640
14b51b56
1580b465
hex5d4760

6113120 has 48 divisors (see below), whose sum is σ = 15558480. Its totient is φ = 2256384.

The previous prime is 6113111. The next prime is 6113123. The reversal of 6113120 is 213116.

It is a super-2 number, since 2×61131202 = 74740472268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6113095 and 6113104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6113123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 611 + ... + 3549.

It is an arithmetic number, because the mean of its divisors is an integer number (324135).

Almost surely, 26113120 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 6113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7779240).

6113120 is an abundant number, since it is smaller than the sum of its proper divisors (9445360).

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

6113120 is a wasteful number, since it uses less digits than its factorization.

6113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 6113120 is about 2472.4724467626. The cubic root of 6113120 is about 182.8469162808.

Adding to 6113120 its reverse (213116), we get a palindrome (6326236).

The spelling of 6113120 in words is "six million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2939 5878 11756 14695 23512 29390 38207 47024 58780 76414 94048 117560 152828 191035 235120 305656 382070 470240 611312 764140 1222624 1528280 3056560 6113120