Search a number
-
+
12380490 = 2325151911
BaseRepresentation
bin101111001110…
…100101001010
3212021222211200
4233032211022
511132133430
61121205030
7210142503
oct57164512
925258750
1012380490
116a96711
124190776
132746245
141903baa
151148460
hexbce94a

12380490 has 48 divisors (see below), whose sum is σ = 32438016. Its totient is φ = 3276000.

The previous prime is 12380453. The next prime is 12380491. The reversal of 12380490 is 9408321.

It is not an unprimeable number, because it can be changed into a prime (12380491) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13135 + ... + 14045.

It is an arithmetic number, because the mean of its divisors is an integer number (675792).

Almost surely, 212380490 is an apocalyptic number.

12380490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12380490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219008).

12380490 is an abundant number, since it is smaller than the sum of its proper divisors (20057526).

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

12380490 is a wasteful number, since it uses less digits than its factorization.

12380490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12380490 is about 3518.5920479646. The cubic root of 12380490 is about 231.3374502465.

The spelling of 12380490 in words is "twelve million, three hundred eighty thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 151 302 453 755 906 911 1359 1510 1822 2265 2718 2733 4530 4555 5466 6795 8199 9110 13590 13665 16398 27330 40995 81990 137561 275122 412683 687805 825366 1238049 1375610 2063415 2476098 4126830 6190245 12380490