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3020006360 = 2357311133079
BaseRepresentation
bin1011010000000001…
…1010001111011000
321210110200012220102
42310000122033120
522141110200420
61215401114532
7134560426160
oct26400321730
97713605812
103020006360
11130a795528
12703488a48
1339189a817
142091335a0
1512a1e6a75
hexb401a3d8

3020006360 has 128 divisors (see below), whose sum is σ = 8089804800. Its totient is φ = 992839680.

The previous prime is 3020006333. The next prime is 3020006399. The reversal of 3020006360 is 636000203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 979301 + ... + 982379.

It is an arithmetic number, because the mean of its divisors is an integer number (63201600).

Almost surely, 23020006360 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 3020006360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044902400).

3020006360 is an abundant number, since it is smaller than the sum of its proper divisors (5069798440).

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

3020006360 is a wasteful number, since it uses less digits than its factorization.

3020006360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3020006360 is about 54954.5845221306. The cubic root of 3020006360 is about 1445.4484880786.

Adding to 3020006360 its reverse (636000203), we get a palindrome (3656006563).

The spelling of 3020006360 in words is "three billion, twenty million, six thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 113 124 140 155 217 226 248 280 310 434 452 565 620 791 868 904 1085 1130 1240 1582 1736 2170 2260 3079 3164 3503 3955 4340 4520 6158 6328 7006 7910 8680 12316 14012 15395 15820 17515 21553 24521 24632 28024 30790 31640 35030 43106 49042 61580 70060 86212 95449 98084 107765 122605 123160 140120 172424 190898 196168 215530 245210 347927 381796 431060 477245 490420 668143 695854 763592 862120 954490 980840 1336286 1391708 1739635 1908980 2435489 2672572 2783416 3340715 3479270 3817960 4870978 5345144 6681430 6958540 9741956 10785737 12177445 13362860 13917080 19483912 21571474 24354890 26725720 43142948 48709780 53928685 75500159 86285896 97419560 107857370 151000318 215714740 302000636 377500795 431429480 604001272 755001590 1510003180 3020006360