Search a number
-
+
10220240 = 245432971
BaseRepresentation
bin100110111111…
…001011010000
3201020020112102
4212333023100
510104021430
61003015532
7152604422
oct46771320
921206472
1010220240
115850688
12350a5a8
13216aba4
141500812
15d6d345
hex9bf2d0

10220240 has 40 divisors (see below), whose sum is σ = 24322848. Its totient is φ = 3991680.

The previous prime is 10220239. The next prime is 10220261. The reversal of 10220240 is 4202201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1955 + ... + 4925.

Almost surely, 210220240 is an apocalyptic number.

10220240 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 10220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12161424).

10220240 is an abundant number, since it is smaller than the sum of its proper divisors (14102608).

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

10220240 is a wasteful number, since it uses less digits than its factorization.

10220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 10220240 is about 3196.9110090836. The cubic root of 10220240 is about 217.0136399788.

Adding to 10220240 its reverse (4202201), we get a palindrome (14422441).

The spelling of 10220240 in words is "ten million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 2971 3440 5942 11884 14855 23768 29710 47536 59420 118840 127753 237680 255506 511012 638765 1022024 1277530 2044048 2555060 5110120 10220240