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14145040 = 2457132967
BaseRepresentation
bin110101111101…
…011000010000
3222121122100101
4311331120100
512110120130
61223102144
7231142120
oct65753020
928548311
1014145040
117a91418
1248a1954
132c13460
141c42c80
1513961ca
hexd7d610

14145040 has 160 divisors (see below), whose sum is σ = 42497280. Its totient is φ = 4257792.

The previous prime is 14144993. The next prime is 14145049. The reversal of 14145040 is 4054141.

14145040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14144999 and 14145017.

It is not an unprimeable number, because it can be changed into a prime (14145049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211087 + ... + 211153.

It is an arithmetic number, because the mean of its divisors is an integer number (265608).

Almost surely, 214145040 is an apocalyptic number.

14145040 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 14145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640).

14145040 is an abundant number, since it is smaller than the sum of its proper divisors (28352240).

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

14145040 is a wasteful number, since it uses less digits than its factorization.

14145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 14145040 is about 3760.9892315719. The cubic root of 14145040 is about 241.8436710909.

Adding to 14145040 its reverse (4054141), we get a palindrome (18199181).

The spelling of 14145040 in words is "fourteen million, one hundred forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 29 35 40 52 56 58 65 67 70 80 91 104 112 116 130 134 140 145 182 203 208 232 260 268 280 290 335 364 377 406 455 464 469 520 536 560 580 670 728 754 812 871 910 938 1015 1040 1072 1160 1340 1456 1508 1624 1742 1820 1876 1885 1943 2030 2320 2345 2639 2680 3016 3248 3484 3640 3752 3770 3886 4060 4355 4690 5278 5360 6032 6097 6968 7280 7504 7540 7772 8120 8710 9380 9715 10556 12194 13195 13601 13936 15080 15544 16240 17420 18760 19430 21112 24388 25259 26390 27202 30160 30485 31088 34840 37520 38860 42224 48776 50518 52780 54404 60970 68005 69680 77720 97552 101036 105560 108808 121940 126295 136010 155440 176813 202072 211120 217616 243880 252590 272020 353626 404144 487760 505180 544040 707252 884065 1010360 1088080 1414504 1768130 2020720 2829008 3536260 7072520 14145040