Search a number
-
+
23640012 = 223611267
BaseRepresentation
bin101101000101…
…1011111001100
31122111001000000
41122023133030
522022440022
62202404300
7404636214
oct132133714
948431000
1023640012
1112387100
127b00690
134b89196
1431d5244
15211e6ac
hex168b7cc

23640012 has 126 divisors (see below), whose sum is σ = 69195644. Its totient is φ = 7056720.

The previous prime is 23639999. The next prime is 23640037. The reversal of 23640012 is 21004632.

It is a happy number.

23640012 is a `hidden beast` number, since 23 + 640 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 352803 + ... + 352869.

Almost surely, 223640012 is an apocalyptic number.

23640012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23640012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34597822).

23640012 is an abundant number, since it is smaller than the sum of its proper divisors (45555632).

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

23640012 is a wasteful number, since it uses less digits than its factorization.

23640012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23640012 is about 4862.0995464922. The cubic root of 23640012 is about 287.0004411038. Note that the first 3 decimals are identical.

Adding to 23640012 its reverse (21004632), we get a palindrome (44644644).

The spelling of 23640012 in words is "twenty-three million, six hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 67 81 99 108 121 132 134 162 198 201 242 243 268 297 324 363 396 402 484 486 594 603 726 729 737 804 891 972 1089 1188 1206 1452 1458 1474 1782 1809 2178 2211 2412 2673 2916 2948 3267 3564 3618 4356 4422 5346 5427 6534 6633 7236 8019 8107 8844 9801 10692 10854 13068 13266 16038 16214 16281 19602 19899 21708 24321 26532 29403 32076 32428 32562 39204 39798 48642 48843 58806 59697 65124 72963 79596 88209 97284 97686 117612 119394 145926 176418 179091 195372 218889 238788 291852 352836 358182 437778 537273 656667 716364 875556 1074546 1313334 1970001 2149092 2626668 3940002 5910003 7880004 11820006 23640012