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14942004 = 223711103157
BaseRepresentation
bin111000111111…
…111100110100
31001010010120120
4320333330310
512311121004
61252131540
7241001460
oct70777464
931103516
1014942004
118486170
125006bb0
13313212c
141dad4a0
1514a23d9
hexe3ff34

14942004 has 96 divisors (see below), whose sum is σ = 44169216. Its totient is φ = 3818880.

The previous prime is 14942003. The next prime is 14942009. The reversal of 14942004 is 40024941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14942003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95094 + ... + 95250.

It is an arithmetic number, because the mean of its divisors is an integer number (460096).

Almost surely, 214942004 is an apocalyptic number.

14942004 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 14942004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22084608).

14942004 is an abundant number, since it is smaller than the sum of its proper divisors (29227212).

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

14942004 is a wasteful number, since it uses less digits than its factorization.

14942004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 14942004 is about 3865.4888436005. The cubic root of 14942004 is about 246.3029514996.

Adding to 14942004 its reverse (40024941), we get a palindrome (54966945).

The spelling of 14942004 in words is "fourteen million, nine hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 103 132 154 157 206 231 308 309 314 412 462 471 618 628 721 924 942 1099 1133 1236 1442 1727 1884 2163 2198 2266 2884 3297 3399 3454 4326 4396 4532 5181 6594 6798 6908 7931 8652 10362 12089 13188 13596 15862 16171 20724 23793 24178 31724 32342 36267 47586 48356 48513 64684 72534 95172 97026 113197 145068 177881 194052 226394 339591 355762 452788 533643 679182 711524 1067286 1245167 1358364 2134572 2490334 3735501 4980668 7471002 14942004