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1970720 = 255109113
BaseRepresentation
bin111100001001000100000
310201010022122
413201020200
51001030340
6110123412
722515353
oct7411040
93633278
101970720
1111266a4
127b0568
1354000b
1439429a
1528ddb5
hex1e1220

1970720 has 48 divisors (see below), whose sum is σ = 4740120. Its totient is φ = 774144.

The previous prime is 1970719. The next prime is 1970729. The reversal of 1970720 is 270791.

It can be written as a sum of positive squares in 4 ways, for example, as 1175056 + 795664 = 1084^2 + 892^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1970720.

It is not an unprimeable number, because it can be changed into a prime (1970729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17384 + ... + 17496.

21970720 is an apocalyptic number.

1970720 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 1970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370060).

1970720 is an abundant number, since it is smaller than the sum of its proper divisors (2769400).

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

1970720 is a wasteful number, since it uses less digits than its factorization.

1970720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 1970720 is about 1403.8233507105. The cubic root of 1970720 is about 125.3742384465.

The spelling of 1970720 in words is "one million, nine hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 113 160 218 226 436 452 545 565 872 904 1090 1130 1744 1808 2180 2260 3488 3616 4360 4520 8720 9040 12317 17440 18080 24634 49268 61585 98536 123170 197072 246340 394144 492680 985360 1970720