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12053916 = 22327311543
BaseRepresentation
bin101101111110…
…110110011100
3211200101212100
4231332312130
511041211131
61110205100
7204312420
oct55766634
924611770
1012053916
116893316
124053790
1326606c4
14185ab80
1510d17e6
hexb7ed9c

12053916 has 72 divisors (see below), whose sum is σ = 35969024. Its totient is φ = 3330720.

The previous prime is 12053887. The next prime is 12053917. The reversal of 12053916 is 61935021.

12053916 is a `hidden beast` number, since 120 + 539 + 1 + 6 = 666.

It is a super-4 number, since 4×120539164 (a number of 29 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12053916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12053917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7041 + ... + 8583.

Almost surely, 212053916 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 12053916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17984512).

12053916 is an abundant number, since it is smaller than the sum of its proper divisors (23915108).

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

12053916 is a wasteful number, since it uses less digits than its factorization.

12053916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 12053916 is about 3471.8749977498. The cubic root of 12053916 is about 229.2852163414.

Adding to 12053916 its reverse (61935021), we get a palindrome (73988937).

The spelling of 12053916 in words is "twelve million, fifty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1543 1953 2604 3086 3906 4629 6172 7812 9258 10801 13887 18516 21602 27774 32403 43204 47833 55548 64806 95666 97209 129612 143499 191332 194418 286998 334831 388836 430497 573996 669662 860994 1004493 1339324 1721988 2008986 3013479 4017972 6026958 12053916