Search a number
-
+
6020082480 = 2435413491753
BaseRepresentation
bin1011001101101001…
…10010101100110000
3120112112211212122210
411212310302230300
544312120114410
62433211132120
7302116566606
oct54664625460
916475755583
106020082480
11260a1a8085
121200144040
1374c2aa8a9
14411759876
152537a3220
hex166d32b30

6020082480 has 160 divisors (see below), whose sum is σ = 19183147200. Its totient is φ = 1560821760.

The previous prime is 6020082469. The next prime is 6020082499. The reversal of 6020082480 is 842800206.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3433284 + ... + 3435036.

It is an arithmetic number, because the mean of its divisors is an integer number (119894670).

Almost surely, 26020082480 is an apocalyptic number.

6020082480 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 6020082480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9591573600).

6020082480 is an abundant number, since it is smaller than the sum of its proper divisors (13163064720).

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

6020082480 is a wasteful number, since it uses less digits than its factorization.

6020082480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 6020082480 is about 77589.1904842421. The cubic root of 6020082480 is about 1819.1456844599.

Adding to 6020082480 its reverse (842800206), we get a palindrome (6862882686).

The spelling of 6020082480 in words is "six billion, twenty million, eighty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 349 410 492 615 656 698 820 984 1047 1230 1396 1640 1745 1753 1968 2094 2460 2792 3280 3490 3506 4188 4920 5235 5259 5584 6980 7012 8376 8765 9840 10470 10518 13960 14024 14309 16752 17530 20940 21036 26295 27920 28048 28618 35060 41880 42072 42927 52590 57236 70120 71545 71873 83760 84144 85854 105180 114472 140240 143090 143746 171708 210360 214635 215619 228944 286180 287492 343416 359365 420720 429270 431238 572360 574984 611797 686832 718730 858540 862476 1078095 1144720 1149968 1223594 1437460 1717080 1724952 1835391 2156190 2447188 2874920 3058985 3434160 3449904 3670782 4312380 4894376 5749840 6117970 7341564 8624760 9176955 9788752 12235940 14683128 17249520 18353910 24471880 25083677 29366256 36707820 48943760 50167354 73415640 75251031 100334708 125418385 146831280 150502062 200669416 250836770 301004124 376255155 401338832 501673540 602008248 752510310 1003347080 1204016496 1505020620 2006694160 3010041240 6020082480