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2071620 = 2232517677
BaseRepresentation
bin111111001110001000100
310220020201200
413321301010
51012242440
6112222500
723415465
oct7716104
93806650
102071620
111195491
1283aa30
13576c15
143bcd6c
152adc30
hex1f9c44

2071620 has 72 divisors (see below), whose sum is σ = 6663384. Its totient is φ = 519168.

The previous prime is 2071613. The next prime is 2071631. The reversal of 2071620 is 261702.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 956484 = 1056^2 + 978^2 .

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 = 2071593 and 2071602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2722 + ... + 3398.

It is an arithmetic number, because the mean of its divisors is an integer number (92547).

22071620 is an apocalyptic number.

2071620 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 2071620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331692).

2071620 is an abundant number, since it is smaller than the sum of its proper divisors (4591764).

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

2071620 is a wasteful number, since it uses less digits than its factorization.

2071620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2071620 is about 1439.3123358048. The cubic root of 2071620 is about 127.4784277228.

It can be divided in two parts, 20716 and 20, that added together give a 4-th power (20736 = 124).

The spelling of 2071620 in words is "two million, seventy-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 677 765 1020 1354 1530 2031 2708 3060 3385 4062 6093 6770 8124 10155 11509 12186 13540 20310 23018 24372 30465 34527 40620 46036 57545 60930 69054 103581 115090 121860 138108 172635 207162 230180 345270 414324 517905 690540 1035810 2071620