Search a number
-
+
12057336 = 233423809
BaseRepresentation
bin101101111111…
…101011111000
3211200120120000
4231333223320
511041313321
61110233000
7204325404
oct55775370
924616500
1012057336
116895945
124055760
132662125
14185c104
1510d2826
hexb7faf8

12057336 has 80 divisors (see below), whose sum is σ = 35283600. Its totient is φ = 3839616.

The previous prime is 12057323. The next prime is 12057347. The reversal of 12057336 is 63375021.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14500 + ... + 15308.

It is an arithmetic number, because the mean of its divisors is an integer number (441045).

Almost surely, 212057336 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 12057336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641800).

12057336 is an abundant number, since it is smaller than the sum of its proper divisors (23226264).

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

12057336 is a wasteful number, since it uses less digits than its factorization.

12057336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 12057336 is about 3472.3674920722. The cubic root of 12057336 is about 229.3068989572.

The spelling of 12057336 in words is "twelve million, fifty-seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 809 828 1242 1618 1656 1863 2427 2484 3236 3726 4854 4968 6472 7281 7452 9708 14562 14904 18607 19416 21843 29124 37214 43686 55821 58248 65529 74428 87372 111642 131058 148856 167463 174744 223284 262116 334926 446568 502389 524232 669852 1004778 1339704 1507167 2009556 3014334 4019112 6028668 12057336