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14611968 = 29337151
BaseRepresentation
bin110111101111…
…011000000000
31000111100212000
4313233120000
512220040333
61241104000
7235125330
oct67573000
930440760
1014611968
118280208
124a88000
133047b47
141d250c0
151439713
hexdef600

14611968 has 160 divisors (see below), whose sum is σ = 49758720. Its totient is φ = 4147200.

The previous prime is 14611967. The next prime is 14611979. The reversal of 14611968 is 86911641.

It is a happy number.

14611968 is a `hidden beast` number, since 1 + 461 + 196 + 8 = 666.

14611968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14611967) 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, 96693 + ... + 96843.

It is an arithmetic number, because the mean of its divisors is an integer number (310992).

Almost surely, 214611968 is an apocalyptic number.

14611968 is a gapful number since it is divisible by the number (18) 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 14611968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24879360).

14611968 is an abundant number, since it is smaller than the sum of its proper divisors (35146752).

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

14611968 is an equidigital number, since it uses as much as digits as its factorization.

14611968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 163 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 14611968 is about 3822.5603984764. The cubic root of 14611968 is about 244.4760035164.

The spelling of 14611968 in words is "fourteen million, six hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 151 168 189 192 216 224 252 256 288 302 336 378 384 432 448 453 504 512 576 604 672 756 768 864 896 906 1008 1057 1152 1208 1344 1359 1512 1536 1728 1792 1812 2016 2114 2304 2416 2688 2718 3024 3171 3456 3584 3624 4032 4077 4228 4608 4832 5376 5436 6048 6342 6912 7248 8064 8154 8456 9513 9664 10752 10872 12096 12684 13824 14496 16128 16308 16912 19026 19328 21744 24192 25368 28539 28992 32256 32616 33824 38052 38656 43488 48384 50736 57078 57984 65232 67648 76104 77312 86976 96768 101472 114156 115968 130464 135296 152208 173952 202944 228312 231936 260928 270592 304416 347904 405888 456624 521856 541184 608832 695808 811776 913248 1043712 1217664 1623552 1826496 2087424 2435328 3652992 4870656 7305984 14611968