Search a number
-
+
14093136 = 24331719101
BaseRepresentation
bin110101110000…
…101101010000
3222112000011000
4311300231100
512101440021
61222022000
7230534601
oct65605520
928460130
1014093136
117a56422
124877900
132bc5945
141c2bda8
151385b26
hexd70b50

14093136 has 160 divisors (see below), whose sum is σ = 45532800. Its totient is φ = 4147200.

The previous prime is 14093129. The next prime is 14093147. The reversal of 14093136 is 63139041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 139486 + ... + 139586.

It is an arithmetic number, because the mean of its divisors is an integer number (284580).

Almost surely, 214093136 is an apocalyptic number.

14093136 is a gapful number since it is divisible by the number (16) 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 14093136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766400).

14093136 is an abundant number, since it is smaller than the sum of its proper divisors (31439664).

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

14093136 is a wasteful number, since it uses less digits than its factorization.

14093136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 14093136 is about 3754.0825776746. The cubic root of 14093136 is about 241.5475003977.

The spelling of 14093136 in words is "fourteen million, ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 27 34 36 38 48 51 54 57 68 72 76 101 102 108 114 136 144 152 153 171 202 204 216 228 272 303 304 306 323 342 404 408 432 456 459 513 606 612 646 684 808 816 909 912 918 969 1026 1212 1224 1292 1368 1616 1717 1818 1836 1919 1938 2052 2424 2448 2584 2727 2736 2907 3434 3636 3672 3838 3876 4104 4848 5151 5168 5454 5757 5814 6868 7272 7344 7676 7752 8208 8721 10302 10908 11514 11628 13736 14544 15352 15453 15504 17271 17442 20604 21816 23028 23256 27472 30704 30906 32623 34542 34884 41208 43632 46056 46359 46512 51813 61812 65246 69084 69768 82416 92112 92718 97869 103626 123624 130492 138168 139536 185436 195738 207252 247248 260984 276336 293607 370872 391476 414504 521968 587214 741744 782952 829008 880821 1174428 1565904 1761642 2348856 3523284 4697712 7046568 14093136