Search a number
-
+
12052404 = 22327132283
BaseRepresentation
bin101101111110…
…011110110100
3211200022210100
4231332132310
511041134104
61110154100
7204305130
oct55763664
924608710
1012052404
116892171
124052930
13265cb00
14185a3c0
1510d1139
hexb7e7b4

12052404 has 108 divisors (see below), whose sum is σ = 37835616. Its totient is φ = 3167424.

The previous prime is 12052399. The next prime is 12052409. The reversal of 12052404 is 40425021.

It is an interprime number because it is at equal distance from previous prime (12052399) and next prime (12052409).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12052409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42447 + ... + 42729.

Almost surely, 212052404 is an apocalyptic number.

12052404 is a gapful number since it is divisible by the number (14) 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 12052404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18917808).

12052404 is an abundant number, since it is smaller than the sum of its proper divisors (25783212).

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

12052404 is a wasteful number, since it uses less digits than its factorization.

12052404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12052404 is about 3471.6572411458. The cubic root of 12052404 is about 229.2756290354.

Adding to 12052404 its reverse (40425021), we get a palindrome (52477425).

The spelling of 12052404 in words is "twelve million, fifty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 169 182 234 252 273 283 338 364 468 507 546 566 676 819 849 1014 1092 1132 1183 1521 1638 1698 1981 2028 2366 2547 3042 3276 3396 3549 3679 3962 4732 5094 5943 6084 7098 7358 7924 10188 10647 11037 11886 14196 14716 17829 21294 22074 23772 25753 33111 35658 42588 44148 47827 51506 66222 71316 77259 95654 103012 132444 143481 154518 191308 231777 286962 309036 334789 430443 463554 573924 669578 860886 927108 1004367 1339156 1721772 2008734 3013101 4017468 6026202 12052404