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14428368 = 24361237
BaseRepresentation
bin110111000010…
…100011010000
31000011001000000
4313002203100
512143201433
61233130000
7233432133
oct67024320
930131000
1014428368
118165279
1249b9900
132cb23c6
141cb821a
151400113
hexdc28d0

14428368 has 70 divisors (see below), whose sum is σ = 41947154. Its totient is φ = 4805568.

The previous prime is 14428367. The next prime is 14428369. The reversal of 14428368 is 86382441.

It is an interprime number because it is at equal distance from previous prime (14428367) and next prime (14428369).

It can be written as a sum of positive squares in only one way, i.e., 13483584 + 944784 = 3672^2 + 972^2 .

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 (14428363) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11046 + ... + 12282.

Almost surely, 214428368 is an apocalyptic number.

14428368 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 14428368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20973577).

14428368 is an abundant number, since it is smaller than the sum of its proper divisors (27518786).

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

14428368 is an equidigital number, since it uses as much as digits as its factorization.

14428368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1242 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 14428368 is about 3798.4691653349. The cubic root of 14428368 is about 243.4477342015.

The spelling of 14428368 in words is "fourteen million, four hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1237 1296 1458 1944 2474 2916 3711 3888 4948 5832 7422 9896 11133 11664 14844 19792 22266 29688 33399 44532 59376 66798 89064 100197 133596 178128 200394 267192 300591 400788 534384 601182 801576 901773 1202364 1603152 1803546 2404728 3607092 4809456 7214184 14428368