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14501040 = 2435233771
BaseRepresentation
bin110111010100…
…010010110000
31000021201200120
4313110102300
512203013130
61234450240
7234154041
oct67242260
930251616
1014501040
118204934
124a33980
1330094c8
141cd68c8
151416910
hexdd44b0

14501040 has 160 divisors (see below), whose sum is σ = 48854016. Its totient is φ = 3548160.

The previous prime is 14501029. The next prime is 14501041. The reversal of 14501040 is 4010541.

14501040 = 7832 + 7842 + ... + 8052.

It is a super-2 number, since 2×145010402 = 420560322163200, which contains 22 as substring.

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 (14501041) 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, 204205 + ... + 204275.

Almost surely, 214501040 is an apocalyptic number.

14501040 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 14501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24427008).

14501040 is an abundant number, since it is smaller than the sum of its proper divisors (34352976).

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

14501040 is a wasteful number, since it uses less digits than its factorization.

14501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 14501040 is about 3808.0231091736. The cubic root of 14501040 is about 243.8557778901.

Adding to 14501040 its reverse (4010541), we get a palindrome (18511581).

The spelling of 14501040 in words is "fourteen million, five hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 37 40 46 48 60 69 71 74 80 92 111 115 120 138 142 148 184 185 213 222 230 240 276 284 296 345 355 368 370 426 444 460 552 555 568 592 690 710 740 851 852 888 920 1065 1104 1110 1136 1380 1420 1480 1633 1702 1704 1776 1840 2130 2220 2553 2627 2760 2840 2960 3266 3404 3408 4255 4260 4440 4899 5106 5254 5520 5680 6532 6808 7881 8165 8510 8520 8880 9798 10212 10508 12765 13064 13135 13616 15762 16330 17020 17040 19596 20424 21016 24495 25530 26128 26270 31524 32660 34040 39192 39405 40848 42032 48990 51060 52540 60421 63048 65320 68080 78384 78810 97980 102120 105080 120842 126096 130640 157620 181263 195960 204240 210160 241684 302105 315240 362526 391920 483368 604210 630480 725052 906315 966736 1208420 1450104 1812630 2416840 2900208 3625260 4833680 7250520 14501040