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14679040 = 21054761
BaseRepresentation
bin110111111111…
…110000000000
31000121202212011
4313333300000
512224212130
61242342304
7235525015
oct67776000
930552764
1014679040
118316642
124aba994
13306c52c
141d4170c
15144e52a
hexdffc00

14679040 has 88 divisors (see below), whose sum is σ = 36551232. Its totient is φ = 5652480.

The previous prime is 14679031. The next prime is 14679043. The reversal of 14679040 is 4097641.

It is a junction number, because it is equal to n+sod(n) for n = 14678993 and 14679011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14679043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240610 + ... + 240670.

Almost surely, 214679040 is an apocalyptic number.

14679040 is a gapful number since it is divisible by the number (10) 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 14679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18275616).

14679040 is an abundant number, since it is smaller than the sum of its proper divisors (21872192).

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

14679040 is an equidigital number, since it uses as much as digits as its factorization.

14679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 14679040 is about 3831.3235311051. The cubic root of 14679040 is about 244.8494980149.

The spelling of 14679040 in words is "fourteen million, six hundred seventy-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 61 64 80 94 122 128 160 188 235 244 256 305 320 376 470 488 512 610 640 752 940 976 1024 1220 1280 1504 1880 1952 2440 2560 2867 3008 3760 3904 4880 5120 5734 6016 7520 7808 9760 11468 12032 14335 15040 15616 19520 22936 24064 28670 30080 31232 39040 45872 48128 57340 60160 62464 78080 91744 114680 120320 156160 183488 229360 240640 312320 366976 458720 733952 917440 1467904 1834880 2935808 3669760 7339520 14679040