Search a number
-
+
12191730 = 2351973293
BaseRepresentation
bin101110100000…
…011111110010
3211221101220120
4232200133302
511110113410
61113151110
7205425255
oct56403762
924841816
1012191730
116977911
1240bb496
1326ab355
14189509c
15110c570
hexba07f2

12191730 has 64 divisors (see below), whose sum is σ = 31328640. Its totient is φ = 3027456.

The previous prime is 12191717. The next prime is 12191741. The reversal of 12191730 is 3719121.

It is a self number, because there is not a number n which added to its sum of digits gives 12191730.

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 31 ways as a sum of consecutive naturals, for example, 41464 + ... + 41756.

It is an arithmetic number, because the mean of its divisors is an integer number (489510).

Almost surely, 212191730 is an apocalyptic number.

12191730 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 12191730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664320).

12191730 is an abundant number, since it is smaller than the sum of its proper divisors (19136910).

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

12191730 is a wasteful number, since it uses less digits than its factorization.

12191730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395.

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 12191730 is about 3491.6657915671. The cubic root of 12191730 is about 230.1557231502.

It can be divided in two parts, 12191 and 730, that added together give a palindrome (12921).

The spelling of 12191730 in words is "twelve million, one hundred ninety-one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 73 95 114 146 190 219 285 293 365 438 570 586 730 879 1095 1387 1465 1758 2190 2774 2930 4161 4395 5567 6935 8322 8790 11134 13870 16701 20805 21389 27835 33402 41610 42778 55670 64167 83505 106945 128334 167010 213890 320835 406391 641670 812782 1219173 2031955 2438346 4063910 6095865 12191730