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12053772 = 223512401
BaseRepresentation
bin101101111110…
…110100001100
3211200101200000
4231332310030
511041210042
61110204300
7204312123
oct55766414
924611600
1012053772
1168931a5
124053690
132660613
14185aaba
1510d174c
hexb7ed0c

12053772 has 36 divisors (see below), whose sum is σ = 31600296. Its totient is φ = 4017600.

The previous prime is 12053753. The next prime is 12053779. The reversal of 12053772 is 27735021.

12053772 is a `hidden beast` number, since 120 + 537 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12053779) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5229 + ... + 7172.

It is an arithmetic number, because the mean of its divisors is an integer number (877786).

Almost surely, 212053772 is an apocalyptic number.

12053772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12053772 is an abundant number, since it is smaller than the sum of its proper divisors (19546524).

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

12053772 is a wasteful number, since it uses less digits than its factorization.

12053772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12420 (or 12406 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 12053772 is about 3471.8542596140. The cubic root of 12053772 is about 229.2843032992.

Adding to 12053772 its reverse (27735021), we get a palindrome (39788793).

The spelling of 12053772 in words is "twelve million, fifty-three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 12401 24802 37203 49604 74406 111609 148812 223218 334827 446436 669654 1004481 1339308 2008962 3013443 4017924 6026886 12053772