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12872028 = 22313109757
BaseRepresentation
bin110001000110…
…100101011100
3220012222002210
4301012211130
511243401103
61135520420
7214260531
oct61064534
926188083
1012872028
1172a1a44
124389110
132888bb0
1419d0d88
1511e3e03
hexc4695c

12872028 has 48 divisors (see below), whose sum is σ = 32684960. Its totient is φ = 3919104.

The previous prime is 12872021. The next prime is 12872029. The reversal of 12872028 is 82027821.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12871986 and 12872004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12872021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16626 + ... + 17382.

Almost surely, 212872028 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 12872028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16342480).

12872028 is an abundant number, since it is smaller than the sum of its proper divisors (19812932).

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

12872028 is a wasteful number, since it uses less digits than its factorization.

12872028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 12872028 is about 3587.7608615960. The cubic root of 12872028 is about 234.3593718290.

Adding to 12872028 its reverse (82027821), we get a palindrome (94899849).

It can be divided in two parts, 1287202 and 8, that added together give a triangular number (1287210 = T1604).

The spelling of 12872028 in words is "twelve million, eight hundred seventy-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 218 327 436 654 757 1308 1417 1514 2271 2834 3028 4251 4542 5668 8502 9084 9841 17004 19682 29523 39364 59046 82513 118092 165026 247539 330052 495078 990156 1072669 2145338 3218007 4290676 6436014 12872028