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12058004 = 22737103113
BaseRepresentation
bin101101111111…
…110110010100
3211200121110202
4231333312110
511041324004
61110240032
7204330350
oct55776624
924617422
1012058004
1168963a2
124056018
13266251a
14185c460
1510d2b1e
hexb7fd94

12058004 has 48 divisors (see below), whose sum is σ = 25229568. Its totient is φ = 4935168.

The previous prime is 12057979. The next prime is 12058009. The reversal of 12058004 is 40085021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12058009) 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, 106652 + ... + 106764.

It is an arithmetic number, because the mean of its divisors is an integer number (525616).

Almost surely, 212058004 is an apocalyptic number.

12058004 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 12058004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12614784).

12058004 is an abundant number, since it is smaller than the sum of its proper divisors (13171564).

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

12058004 is a wasteful number, since it uses less digits than its factorization.

12058004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 12058004 is about 3472.4636787157. The cubic root of 12058004 is about 229.3111335626.

The spelling of 12058004 in words is "twelve million, fifty-eight thousand, four".

Divisors: 1 2 4 7 14 28 37 74 103 113 148 206 226 259 412 452 518 721 791 1036 1442 1582 2884 3164 3811 4181 7622 8362 11639 15244 16724 23278 26677 29267 46556 53354 58534 81473 106708 117068 162946 325892 430643 861286 1722572 3014501 6029002 12058004