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14242020 = 22351319312
BaseRepresentation
bin110110010101…
…000011100100
3222210120101020
4312111003210
512121221040
61225131140
7232024632
oct66250344
928716336
1014242020
118048271
124929ab0
132c48640
141c6a352
1513b4cd0
hexd950e4

14242020 has 144 divisors (see below), whose sum is σ = 46710720. Its totient is φ = 3214080.

The previous prime is 14241979. The next prime is 14242027. The reversal of 14242020 is 2024241.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14242027) 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 47 ways as a sum of consecutive naturals, for example, 459405 + ... + 459435.

It is an arithmetic number, because the mean of its divisors is an integer number (324380).

Almost surely, 214242020 is an apocalyptic number.

14242020 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 14242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23355360).

14242020 is an abundant number, since it is smaller than the sum of its proper divisors (32468700).

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

14242020 is a wasteful number, since it uses less digits than its factorization.

14242020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 73 counting only the distinct ones).

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

The square root of 14242020 is about 3773.8600927962. The cubic root of 14242020 is about 242.3951153042.

Adding to 14242020 its reverse (2024241), we get a palindrome (16266261).

The spelling of 14242020 in words is "fourteen million, two hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 31 38 39 52 57 60 62 65 76 78 93 95 114 124 130 155 156 186 190 195 228 247 260 285 310 372 380 390 403 465 494 570 589 620 741 780 806 930 961 988 1140 1178 1209 1235 1482 1612 1767 1860 1922 2015 2356 2418 2470 2883 2945 2964 3534 3705 3844 4030 4805 4836 4940 5766 5890 6045 7068 7410 7657 8060 8835 9610 11532 11780 12090 12493 14415 14820 15314 17670 18259 19220 22971 24180 24986 28830 30628 35340 36518 37479 38285 45942 49972 54777 57660 62465 73036 74958 76570 91295 91884 109554 114855 124930 149916 153140 182590 187395 219108 229710 237367 249860 273885 365180 374790 459420 474734 547770 712101 749580 949468 1095540 1186835 1424202 2373670 2848404 3560505 4747340 7121010 14242020