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14551040 = 21157229
BaseRepresentation
bin110111100000…
…100000000000
31000101021021102
4313200200000
512211113130
61235513532
7234452600
oct67404000
930337242
1014551040
118239459
124a588a8
1330261aa
141d0ac00
151426645
hexde0800

14551040 has 144 divisors (see below), whose sum is σ = 42014700. Its totient is φ = 4816896.

The previous prime is 14551039. The next prime is 14551049. The reversal of 14551040 is 4015541.

It can be written as a sum of positive squares in 2 ways, for example, as 14500864 + 50176 = 3808^2 + 224^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14551049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501746 + ... + 501774.

Almost surely, 214551040 is an apocalyptic number.

14551040 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 14551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21007350).

14551040 is an abundant number, since it is smaller than the sum of its proper divisors (27463660).

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

14551040 is an equidigital number, since it uses as much as digits as its factorization.

14551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 14551040 is about 3814.5825459675. The cubic root of 14551040 is about 244.1357302701.

Adding to 14551040 its reverse (4015541), we get a palindrome (18566581).

The spelling of 14551040 in words is "fourteen million, five hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 49 56 58 64 70 80 98 112 116 128 140 145 160 196 203 224 232 245 256 280 290 320 392 406 448 464 490 512 560 580 640 784 812 896 928 980 1015 1024 1120 1160 1280 1421 1568 1624 1792 1856 1960 2030 2048 2240 2320 2560 2842 3136 3248 3584 3712 3920 4060 4480 4640 5120 5684 6272 6496 7105 7168 7424 7840 8120 8960 9280 10240 11368 12544 12992 14210 14336 14848 15680 16240 17920 18560 22736 25088 25984 28420 29696 31360 32480 35840 37120 45472 50176 51968 56840 59392 62720 64960 71680 74240 90944 100352 103936 113680 125440 129920 148480 181888 207872 227360 250880 259840 296960 363776 415744 454720 501760 519680 727552 909440 1039360 1455104 1818880 2078720 2910208 3637760 7275520 14551040