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12028692 = 2231383929
BaseRepresentation
bin101101111000…
…101100010100
3211122010021010
4231320230110
511034404232
61105452220
7204146034
oct55705424
924563233
1012028692
116876375
124041070
132652090
1418518c4
1510c90cc
hexb78b14

12028692 has 48 divisors (see below), whose sum is σ = 30623040. Its totient is φ = 3652608.

The previous prime is 12028669. The next prime is 12028693. The reversal of 12028692 is 29682021.

12028692 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12028693) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12484 + ... + 13412.

It is an arithmetic number, because the mean of its divisors is an integer number (637980).

Almost surely, 212028692 is an apocalyptic number.

12028692 is a gapful number since it is divisible by the number (12) 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 12028692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311520).

12028692 is an abundant number, since it is smaller than the sum of its proper divisors (18594348).

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

12028692 is a wasteful number, since it uses less digits than its factorization.

12028692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12028692 is about 3468.2404760916. The cubic root of 12028692 is about 229.1251707272.

It can be divided in two parts, 12028 and 692, that added together give a triangular number (12720 = T159).

The spelling of 12028692 in words is "twelve million, twenty-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 83 156 166 249 332 498 929 996 1079 1858 2158 2787 3237 3716 4316 5574 6474 11148 12077 12948 24154 36231 48308 72462 77107 144924 154214 231321 308428 462642 925284 1002391 2004782 3007173 4009564 6014346 12028692