Search a number
-
+
2570320 = 24519289
BaseRepresentation
bin1001110011100001010000
311211120211001
421303201100
51124222240
6131031344
730563434
oct11634120
94746731
102570320
1114a6135
12a3b554
136bcbcc
144ac9c4
1535b89a
hex273850

2570320 has 60 divisors (see below), whose sum is σ = 6377940. Its totient is φ = 963072.

The previous prime is 2570317. The next prime is 2570327. The reversal of 2570320 is 230752.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 698896 + 1871424 = 836^2 + 1368^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2570327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28836 + ... + 28924.

It is an arithmetic number, because the mean of its divisors is an integer number (106299).

22570320 is an apocalyptic number.

2570320 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 2570320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188970).

2570320 is an abundant number, since it is smaller than the sum of its proper divisors (3807620).

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

2570320 is a wasteful number, since it uses less digits than its factorization.

2570320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 2570320 is about 1603.2217563394. The cubic root of 2570320 is about 136.9816516888.

The spelling of 2570320 in words is "two million, five hundred seventy thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 89 95 152 178 190 304 356 361 380 445 712 722 760 890 1424 1444 1520 1691 1780 1805 2888 3382 3560 3610 5776 6764 7120 7220 8455 13528 14440 16910 27056 28880 32129 33820 64258 67640 128516 135280 160645 257032 321290 514064 642580 1285160 2570320