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6081120 = 2532541103
BaseRepresentation
bin10111001100101001100000
3102102221201200
4113030221200
53024043440
6334201200
7102455133
oct27145140
912387650
106081120
113483921
122053200
13134bbc6
14b4421a
15801c30
hex5cca60

6081120 has 144 divisors (see below), whose sum is σ = 21464352. Its totient is φ = 1566720.

The previous prime is 6081113. The next prime is 6081139. The reversal of 6081120 is 211806.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 6081093 and 6081102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58989 + ... + 59091.

It is an arithmetic number, because the mean of its divisors is an integer number (149058).

Almost surely, 26081120 is an apocalyptic number.

6081120 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 6081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10732176).

6081120 is an abundant number, since it is smaller than the sum of its proper divisors (15383232).

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

6081120 is a wasteful number, since it uses less digits than its factorization.

6081120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 6081120 is about 2465.9927007191. The cubic root of 6081120 is about 182.5273118567.

Adding to 6081120 its reverse (211806), we get a palindrome (6292926).

It can be divided in two parts, 608 and 1120, that added together give a cube (1728 = 123).

The spelling of 6081120 in words is "six million, eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 72 80 82 90 96 103 120 123 144 160 164 180 205 206 240 246 288 309 328 360 369 410 412 480 492 515 615 618 656 720 738 820 824 927 984 1030 1230 1236 1312 1440 1476 1545 1640 1648 1845 1854 1968 2060 2460 2472 2952 3090 3280 3296 3690 3708 3936 4120 4223 4635 4920 4944 5904 6180 6560 7380 7416 8240 8446 9270 9840 9888 11808 12360 12669 14760 14832 16480 16892 18540 19680 21115 24720 25338 29520 29664 33784 37080 38007 42230 49440 50676 59040 63345 67568 74160 76014 84460 101352 126690 135136 148320 152028 168920 190035 202704 253380 304056 337840 380070 405408 506760 608112 675680 760140 1013520 1216224 1520280 2027040 3040560 6081120