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14139104 = 257174779
BaseRepresentation
bin110101111011…
…111011100000
3222121100012112
4311323323200
512104422404
61223014452
7231115610
oct65737340
928540175
1014139104
117a87a11
12489a428
132c10845
141c40a40
15139456e
hexd7bee0

14139104 has 96 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 5511168.

The previous prime is 14139101. The next prime is 14139113. The reversal of 14139104 is 40193141.

It is a self number, because there is not a number n which added to its sum of digits gives 14139104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14139101) 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, 178937 + ... + 179015.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 214139104 is an apocalyptic number.

14139104 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 14139104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

14139104 is an abundant number, since it is smaller than the sum of its proper divisors (20697376).

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

14139104 is a wasteful number, since it uses less digits than its factorization.

14139104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 14139104 is about 3760.1999946811. The cubic root of 14139104 is about 241.8098362651.

The spelling of 14139104 in words is "fourteen million, one hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 47 56 68 79 94 112 119 136 158 188 224 238 272 316 329 376 476 544 553 632 658 752 799 952 1106 1264 1316 1343 1504 1598 1904 2212 2528 2632 2686 3196 3713 3808 4424 5264 5372 5593 6392 7426 8848 9401 10528 10744 11186 12784 14852 17696 18802 21488 22372 25568 25991 29704 37604 42976 44744 51982 59408 63121 75208 89488 103964 118816 126242 150416 178976 207928 252484 300832 415856 441847 504968 831712 883694 1009936 1767388 2019872 3534776 7069552 14139104