Search a number
-
+
10377220 = 2257210589
BaseRepresentation
bin100111100101…
…100000000100
3201112012212111
4213211200010
510124032340
61010230404
7154130200
oct47454004
921465774
1010377220
115948617
123585404
1321c4489
141541b00
15d9eaea
hex9e5804

10377220 has 36 divisors (see below), whose sum is σ = 25352460. Its totient is φ = 3557568.

The previous prime is 10377197. The next prime is 10377239. The reversal of 10377220 is 2277301.

It can be written as a sum of positive squares in 2 ways, for example, as 2458624 + 7918596 = 1568^2 + 2814^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10377191 and 10377200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4315 + ... + 6274.

It is an arithmetic number, because the mean of its divisors is an integer number (704235).

Almost surely, 210377220 is an apocalyptic number.

10377220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10377220 is an abundant number, since it is smaller than the sum of its proper divisors (14975240).

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

10377220 is a wasteful number, since it uses less digits than its factorization.

10377220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10612 (or 10603 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 10377220 is about 3221.3692740821. The cubic root of 10377220 is about 218.1190887635.

The spelling of 10377220 in words is "ten million, three hundred seventy-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 10589 21178 42356 52945 74123 105890 148246 211780 296492 370615 518861 741230 1037722 1482460 2075444 2594305 5188610 10377220