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1616002020 = 22325101103863
BaseRepresentation
bin110000001010010…
…0011101111100100
311011121210102000200
41200110203233210
511302144031040
6424204310500
755021535103
oct14024435744
94147712020
101616002020
1175a211266
12391242430
131c9a49519
1411489c03a
1596d10630
hex60523be4

1616002020 has 144 divisors (see below), whose sum is σ = 5004260352. Its totient is φ = 422035200.

The previous prime is 1616002001. The next prime is 1616002021. The reversal of 1616002020 is 202006161.

It is a happy number.

1616002020 is a `hidden beast` number, since 1 + 61 + 600 + 2 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×16160020202 = 5222925057288160800, which contains 22 as substring.

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 = 1616001984 and 1616002002.

It is not an unprimeable number, because it can be changed into a prime (1616002021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1872109 + ... + 1872971.

It is an arithmetic number, because the mean of its divisors is an integer number (34751808).

Almost surely, 21616002020 is an apocalyptic number.

1616002020 is a gapful number since it is divisible by the number (10) 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 1616002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502130176).

1616002020 is an abundant number, since it is smaller than the sum of its proper divisors (3388258332).

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

1616002020 is a wasteful number, since it uses less digits than its factorization.

1616002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1616002020 is about 40199.5276091648. The cubic root of 1616002020 is about 1173.4933506437.

Adding to 1616002020 its reverse (202006161), we get a palindrome (1818008181).

The spelling of 1616002020 in words is "one billion, six hundred sixteen million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 103 180 202 206 303 309 404 412 505 515 606 618 863 909 927 1010 1030 1212 1236 1515 1545 1726 1818 1854 2020 2060 2589 3030 3090 3452 3636 3708 4315 4545 4635 5178 6060 6180 7767 8630 9090 9270 10356 10403 12945 15534 17260 18180 18540 20806 25890 31068 31209 38835 41612 51780 52015 62418 77670 87163 88889 93627 104030 124836 155340 156045 174326 177778 187254 208060 261489 266667 312090 348652 355556 374508 435815 444445 468135 522978 533334 624180 784467 800001 871630 888890 936270 1045956 1066668 1307445 1333335 1568934 1600002 1743260 1777780 1872540 2614890 2666670 3137868 3200004 3922335 4000005 5229780 5333340 7844670 8000010 8977789 15689340 16000020 17955578 26933367 35911156 44888945 53866734 80800101 89777890 107733468 134666835 161600202 179555780 269333670 323200404 404000505 538667340 808001010 1616002020