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6061120 = 265133147
BaseRepresentation
bin10111000111110001000000
3102101221021221
4113013301000
53022423440
6333524424
7102342622
oct27076100
912357257
106061120
11346a89a
122043714
131342a80
14b3ac12
157ead4a
hex5c7c40

6061120 has 112 divisors (see below), whose sum is σ = 16386048. Its totient is φ = 2119680.

The previous prime is 6061091. The next prime is 6061123. The reversal of 6061120 is 211606.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6061094 and 6061103.

It is not an unprimeable number, because it can be changed into a prime (6061123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128937 + ... + 128983.

It is an arithmetic number, because the mean of its divisors is an integer number (146304).

Almost surely, 26061120 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 6061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193024).

6061120 is an abundant number, since it is smaller than the sum of its proper divisors (10324928).

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

6061120 is a wasteful number, since it uses less digits than its factorization.

6061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 6061120 is about 2461.9341989582. The cubic root of 6061120 is about 182.3269893492.

Adding to 6061120 its reverse (211606), we get a palindrome (6272726).

The spelling of 6061120 in words is "six million, sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 47 52 62 64 65 80 94 104 124 130 155 160 188 208 235 248 260 310 320 376 403 416 470 496 520 611 620 752 806 832 940 992 1040 1222 1240 1457 1504 1612 1880 1984 2015 2080 2444 2480 2914 3008 3055 3224 3760 4030 4160 4888 4960 5828 6110 6448 7285 7520 8060 9776 9920 11656 12220 12896 14570 15040 16120 18941 19552 23312 24440 25792 29140 32240 37882 39104 46624 48880 58280 64480 75764 93248 94705 97760 116560 128960 151528 189410 195520 233120 303056 378820 466240 606112 757640 1212224 1515280 3030560 6061120