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1072620 = 2232559101
BaseRepresentation
bin100000101110111101100
32000111100200
410011313230
5233310440
634553500
712055113
oct4056754
92014320
101072620
1167296a
12438890
132b72b3
141dcc7a
15162c30
hex105dec

1072620 has 72 divisors (see below), whose sum is σ = 3341520. Its totient is φ = 278400.

The previous prime is 1072613. The next prime is 1072627. The reversal of 1072620 is 262701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1072613) and next prime (1072627).

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 = 1072593 and 1072602.

It is not an unprimeable number, because it can be changed into a prime (1072627) by changing a digit.

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, 10570 + ... + 10670.

It is an arithmetic number, because the mean of its divisors is an integer number (46410).

21072620 is an apocalyptic number.

1072620 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 1072620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670760).

1072620 is an abundant number, since it is smaller than the sum of its proper divisors (2268900).

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

1072620 is a wasteful number, since it uses less digits than its factorization.

1072620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 170 counting only the distinct ones).

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

The square root of 1072620 is about 1035.6736937858. The cubic root of 1072620 is about 102.3643257487.

The spelling of 1072620 in words is "one million, seventy-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 101 118 177 180 202 236 295 303 354 404 505 531 590 606 708 885 909 1010 1062 1180 1212 1515 1770 1818 2020 2124 2655 3030 3540 3636 4545 5310 5959 6060 9090 10620 11918 17877 18180 23836 29795 35754 53631 59590 71508 89385 107262 119180 178770 214524 268155 357540 536310 1072620