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3030597120 = 2935616469
BaseRepresentation
bin1011010010100011…
…0011111000000000
321211012121021200210
42310220303320000
522201313101440
61220420114120
7135046436055
oct26450637000
97735537623
103030597120
111315769521
12706b35940
13393b38245
1420a6cd02c
1512b0d9a80
hexb4a33e00

3030597120 has 160 divisors (see below), whose sum is σ = 9848789280. Its totient is φ = 794787840.

The previous prime is 3030597077. The next prime is 3030597151. The reversal of 3030597120 is 217950303.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465246 + ... + 471714.

It is an arithmetic number, because the mean of its divisors is an integer number (61554933).

Almost surely, 23030597120 is an apocalyptic number.

3030597120 is a gapful number since it is divisible by the number (30) 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 3030597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924394640).

3030597120 is an abundant number, since it is smaller than the sum of its proper divisors (6818192160).

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

3030597120 is an equidigital number, since it uses as much as digits as its factorization.

3030597120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 3030597120 is about 55050.8593938369. The cubic root of 3030597120 is about 1447.1361818726.

The spelling of 3030597120 in words is "three billion, thirty million, five hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 256 305 320 366 384 480 488 512 610 640 732 768 915 960 976 1220 1280 1464 1536 1830 1920 1952 2440 2560 2928 3660 3840 3904 4880 5856 6469 7320 7680 7808 9760 11712 12938 14640 15616 19407 19520 23424 25876 29280 31232 32345 38814 39040 46848 51752 58560 64690 77628 78080 93696 97035 103504 117120 129380 155256 156160 194070 207008 234240 258760 310512 388140 394609 414016 468480 517520 621024 776280 789218 828032 1035040 1183827 1242048 1552560 1578436 1656064 1973045 2070080 2367654 2484096 3105120 3156872 3312128 3946090 4140160 4735308 4968192 5919135 6210240 6313744 7892180 8280320 9470616 9936384 11838270 12420480 12627488 15784360 16560640 18941232 23676540 24840960 25254976 31568720 37882464 47353080 49681920 50509952 63137440 75764928 94706160 101019904 126274880 151529856 189412320 202039808 252549760 303059712 378824640 505099520 606119424 757649280 1010199040 1515298560 3030597120