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14426160 = 2435731277
BaseRepresentation
bin110111000010…
…000000110000
31000010220222020
4313002000300
512143114120
61233111440
7233422530
oct67020060
930126866
1014426160
118163651
1249b8580
132cb13b8
141cb74c0
1513ee640
hexdc2030

14426160 has 160 divisors (see below), whose sum is σ = 52948992. Its totient is φ = 3179520.

The previous prime is 14426141. The next prime is 14426161. The reversal of 14426160 is 6162441.

It is a super-2 number, since 2×144261602 = 416228184691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14426160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14426161) 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, 51942 + ... + 52218.

Almost surely, 214426160 is an apocalyptic number.

14426160 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 14426160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26474496).

14426160 is an abundant number, since it is smaller than the sum of its proper divisors (38522832).

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

14426160 is a wasteful number, since it uses less digits than its factorization.

14426160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 14426160 is about 3798.1785108128. The cubic root of 14426160 is about 243.4353151481.

The spelling of 14426160 in words is "fourteen million, four hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 277 280 310 336 372 420 434 465 496 554 560 620 651 744 831 840 868 930 1085 1108 1240 1302 1385 1488 1662 1680 1736 1860 1939 2170 2216 2480 2604 2770 3255 3324 3472 3720 3878 4155 4340 4432 5208 5540 5817 6510 6648 7440 7756 8310 8587 8680 9695 10416 11080 11634 13020 13296 15512 16620 17174 17360 19390 22160 23268 25761 26040 29085 31024 33240 34348 38780 42935 46536 51522 52080 58170 60109 66480 68696 77560 85870 93072 103044 116340 120218 128805 137392 155120 171740 180327 206088 232680 240436 257610 300545 343480 360654 412176 465360 480872 515220 601090 686960 721308 901635 961744 1030440 1202180 1442616 1803270 2060880 2404360 2885232 3606540 4808720 7213080 14426160