Search a number
-
+
12644424 = 2334131979
BaseRepresentation
bin110000001111…
…000001001000
3212210101220000
4300033001020
511214110144
61131003000
7212322132
oct60170110
925711800
1012644424
117156a41
124299460
132809410
141972052
15119b769
hexc0f048

12644424 has 160 divisors (see below), whose sum is σ = 40656000. Its totient is φ = 3639168.

The previous prime is 12644393. The next prime is 12644459. The reversal of 12644424 is 42444621.

It is a happy number.

12644424 is a `hidden beast` number, since 12 + 644 + 4 + 2 + 4 = 666.

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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 160017 + ... + 160095.

It is an arithmetic number, because the mean of its divisors is an integer number (254100).

Almost surely, 212644424 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 12644424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20328000).

12644424 is an abundant number, since it is smaller than the sum of its proper divisors (28011576).

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

12644424 is a wasteful number, since it uses less digits than its factorization.

12644424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 12644424 is about 3555.8998861048. The cubic root of 12644424 is about 232.9698303757.

The spelling of 12644424 in words is "twelve million, six hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 79 81 104 108 114 117 152 156 158 162 171 216 228 234 237 247 312 316 324 342 351 456 468 474 494 513 632 648 684 702 711 741 936 948 988 1026 1027 1053 1368 1404 1422 1482 1501 1539 1896 1976 2052 2054 2106 2133 2223 2808 2844 2964 3002 3078 3081 4104 4108 4212 4266 4446 4503 5688 5928 6004 6156 6162 6399 6669 8216 8424 8532 8892 9006 9243 12008 12312 12324 12798 13338 13509 17064 17784 18012 18486 19513 20007 24648 25596 26676 27018 27729 36024 36972 39026 40014 40527 51192 53352 54036 55458 58539 73944 78052 80028 81054 83187 108072 110916 117078 121581 156104 160056 162108 166374 175617 221832 234156 243162 324216 332748 351234 468312 486324 526851 665496 702468 972648 1053702 1404936 1580553 2107404 3161106 4214808 6322212 12644424