Search a number
-
+
11423916 = 223572373
BaseRepresentation
bin101011100101…
…000010101100
3210111101200000
4223211002230
510411031131
61044504300
7166046610
oct53450254
923441600
1011423916
1164a2a59
1239ab090
13249ca1a
141735340
151009ce6
hexae50ac

11423916 has 144 divisors (see below), whose sum is σ = 36201984. Its totient is φ = 3079296.

The previous prime is 11423911. The next prime is 11423933. The reversal of 11423916 is 61932411.

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 nude number because it is divisible by every one of its digits.

Its product of digits (1296) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 11423916.

It is not an unprimeable number, because it can be changed into a prime (11423911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156456 + ... + 156528.

Almost surely, 211423916 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 11423916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18100992).

11423916 is an abundant number, since it is smaller than the sum of its proper divisors (24778068).

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

11423916 is a wasteful number, since it uses less digits than its factorization.

11423916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 11423916 is about 3379.9284016085. The cubic root of 11423916 is about 225.2189867966.

The spelling of 11423916 in words is "eleven million, four hundred twenty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 73 81 84 92 108 126 138 146 161 162 189 207 219 243 252 276 292 322 324 378 414 438 483 486 511 567 621 644 657 756 828 876 966 972 1022 1134 1242 1314 1449 1533 1679 1701 1863 1932 1971 2044 2268 2484 2628 2898 3066 3358 3402 3726 3942 4347 4599 5037 5589 5796 5913 6132 6716 6804 7452 7884 8694 9198 10074 11178 11753 11826 13041 13797 15111 17388 17739 18396 20148 22356 23506 23652 26082 27594 30222 35259 35478 39123 41391 45333 47012 52164 55188 60444 70518 70956 78246 82782 90666 105777 124173 135999 141036 156492 165564 181332 211554 248346 271998 317331 407997 423108 496692 543996 634662 815994 951993 1269324 1631988 1903986 2855979 3807972 5711958 11423916