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2064202080 = 253510394139
BaseRepresentation
bin111101100001001…
…0011100101100000
312022212011022220220
41323002103211200
513211413431310
6540455003040
7102103266603
oct17302234540
95285138826
102064202080
1196a208636
12497369480
1326b865b65
1415820c33a
15c1345670
hex7b093960

2064202080 has 96 divisors (see below), whose sum is σ = 6510067200. Its totient is φ = 549791232.

The previous prime is 2064202079. The next prime is 2064202081. The reversal of 2064202080 is 802024602.

It is an interprime number because it is at equal distance from previous prime (2064202079) and next prime (2064202081).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2064202080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064202081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496651 + ... + 500789.

It is an arithmetic number, because the mean of its divisors is an integer number (67813200).

Almost surely, 22064202080 is an apocalyptic number.

2064202080 is a gapful number since it is divisible by the number (20) 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 2064202080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255033600).

2064202080 is an abundant number, since it is smaller than the sum of its proper divisors (4445865120).

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

2064202080 is a wasteful number, since it uses less digits than its factorization.

2064202080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5196 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2064202080 is about 45433.4907309575. The cubic root of 2064202080 is about 1273.2609030799.

Adding to 2064202080 its reverse (802024602), we get a palindrome (2866226682).

The spelling of 2064202080 in words is "two billion, sixty-four million, two hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1039 2078 3117 4139 4156 5195 6234 8278 8312 10390 12417 12468 15585 16556 16624 20695 20780 24834 24936 31170 33112 33248 41390 41560 49668 49872 62085 62340 66224 82780 83120 99336 99744 124170 124680 132448 165560 166240 198672 248340 249360 331120 397344 496680 498720 662240 993360 1986720 4300421 8600842 12901263 17201684 21502105 25802526 34403368 43004210 51605052 64506315 68806736 86008420 103210104 129012630 137613472 172016840 206420208 258025260 344033680 412840416 516050520 688067360 1032101040 2064202080