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14244000 = 253531187
BaseRepresentation
bin110110010101…
…100010100000
3222210200002120
4312111202200
512121302000
61225144240
7232033461
oct66254240
928720076
1014244000
118049801
12492b080
132c49504
141c6ad68
1513b56a0
hexd958a0

14244000 has 96 divisors (see below), whose sum is σ = 46702656. Its totient is φ = 3795200.

The previous prime is 14243993. The next prime is 14244007. The reversal of 14244000 is 44241.

It is an interprime number because it is at equal distance from previous prime (14243993) and next prime (14244007).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (14244007) 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, 11407 + ... + 12593.

It is an arithmetic number, because the mean of its divisors is an integer number (486486).

Almost surely, 214244000 is an apocalyptic number.

14244000 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 14244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23351328).

14244000 is an abundant number, since it is smaller than the sum of its proper divisors (32458656).

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

14244000 is a wasteful number, since it uses less digits than its factorization.

14244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 14244000 is about 3774.1224145488. The cubic root of 14244000 is about 242.4063477953.

Adding to 14244000 its reverse (44241), we get a palindrome (14288241).

The spelling of 14244000 in words is "fourteen million, two hundred forty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1187 1200 1500 2000 2374 2400 3000 3561 4000 4748 5935 6000 7122 9496 11870 12000 14244 17805 18992 23740 28488 29675 35610 37984 47480 56976 59350 71220 89025 94960 113952 118700 142440 148375 178050 189920 237400 284880 296750 356100 445125 474800 569760 593500 712200 890250 949600 1187000 1424400 1780500 2374000 2848800 3561000 4748000 7122000 14244000