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14683890 = 23513231637
BaseRepresentation
bin111000000000…
…111011110010
31000122000111210
4320000323302
512224341030
61242420550
7235545114
oct70007362
930560453
1014683890
11831a251
124b01756
1330717c0
141d433b4
151450bb0
hexe00ef2

14683890 has 64 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 3455232.

The previous prime is 14683883. The next prime is 14683897. The reversal of 14683890 is 9838641.

It is an interprime number because it is at equal distance from previous prime (14683883) and next prime (14683897).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (14683897) by changing a digit.

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, 8152 + ... + 9788.

It is an arithmetic number, because the mean of its divisors is an integer number (619164).

Almost surely, 214683890 is an apocalyptic number.

14683890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14683890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

14683890 is an abundant number, since it is smaller than the sum of its proper divisors (24942606).

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

14683890 is a wasteful number, since it uses less digits than its factorization.

14683890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 14683890 is about 3831.9564193764. The cubic root of 14683890 is about 244.8764613881.

The spelling of 14683890 in words is "fourteen million, six hundred eighty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 390 598 690 897 1495 1637 1794 2990 3274 4485 4911 8185 8970 9822 16370 21281 24555 37651 42562 49110 63843 75302 106405 112953 127686 188255 212810 225906 319215 376510 489463 564765 638430 978926 1129530 1468389 2447315 2936778 4894630 7341945 14683890