Search a number
-
+
10380288 = 210331109
BaseRepresentation
bin100111100110…
…010000000000
3201112101002010
4213212100000
510124132123
61010252520
7154142142
oct47462000
921471063
1010380288
11594a956
123587140
1321c59a9
141542c92
15da0993
hex9e6400

10380288 has 88 divisors (see below), whose sum is σ = 28821760. Its totient is φ = 3317760.

The previous prime is 10380287. The next prime is 10380299. The reversal of 10380288 is 88208301.

It is not an unprimeable number, because it can be changed into a prime (10380287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95178 + ... + 95286.

It is an arithmetic number, because the mean of its divisors is an integer number (327520).

Almost surely, 210380288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10380288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14410880).

10380288 is an abundant number, since it is smaller than the sum of its proper divisors (18441472).

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

10380288 is a wasteful number, since it uses less digits than its factorization.

10380288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 10380288 is about 3221.8454339090. The cubic root of 10380288 is about 218.1405821059.

Adding to 10380288 its reverse (88208301), we get a palindrome (98588589).

The spelling of 10380288 in words is "ten million, three hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 109 124 128 186 192 218 248 256 327 372 384 436 496 512 654 744 768 872 992 1024 1308 1488 1536 1744 1984 2616 2976 3072 3379 3488 3968 5232 5952 6758 6976 7936 10137 10464 11904 13516 13952 15872 20274 20928 23808 27032 27904 31744 40548 41856 47616 54064 55808 81096 83712 95232 108128 111616 162192 167424 216256 324384 334848 432512 648768 865024 1297536 1730048 2595072 3460096 5190144 10380288