Search a number
-
+
14074896 = 24311192361
BaseRepresentation
bin110101101100…
…010000010000
3222111002010110
4311230100100
512100344041
61221401320
7230430453
oct65542020
928432113
1014074896
117a43750
124869240
132bba554
141c2549a
151380516
hexd6c410

14074896 has 160 divisors (see below), whose sum is σ = 44282880. Its totient is φ = 3801600.

The previous prime is 14074883. The next prime is 14074909. The reversal of 14074896 is 69847041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14074883) and next prime (14074909).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230706 + ... + 230766.

It is an arithmetic number, because the mean of its divisors is an integer number (276768).

Almost surely, 214074896 is an apocalyptic number.

14074896 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 14074896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22141440).

14074896 is an abundant number, since it is smaller than the sum of its proper divisors (30207984).

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

14074896 is a wasteful number, since it uses less digits than its factorization.

14074896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 14074896 is about 3751.6524359274. The cubic root of 14074896 is about 241.4432480270.

The spelling of 14074896 in words is "fourteen million, seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 23 24 33 38 44 46 48 57 61 66 69 76 88 92 114 122 132 138 152 176 183 184 209 228 244 253 264 276 304 366 368 418 437 456 488 506 528 552 627 671 732 759 836 874 912 976 1012 1104 1159 1254 1311 1342 1403 1464 1518 1672 1748 2013 2024 2318 2508 2622 2684 2806 2928 3036 3344 3477 3496 4026 4048 4209 4636 4807 5016 5244 5368 5612 6072 6954 6992 8052 8418 9272 9614 10032 10488 10736 11224 12144 12749 13908 14421 15433 16104 16836 18544 19228 20976 22448 25498 26657 27816 28842 30866 32208 33672 38247 38456 46299 50996 53314 55632 57684 61732 67344 76494 76912 79971 92598 101992 106628 115368 123464 152988 159942 185196 203984 213256 230736 246928 293227 305976 319884 370392 426512 586454 611952 639768 740784 879681 1172908 1279536 1759362 2345816 3518724 4691632 7037448 14074896