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14134120 = 23571113353
BaseRepresentation
bin110101111010…
…101101101000
3222121002100221
4311322231220
512104242440
61222535424
7231065230
oct65725550
928532327
1014134120
117a841a0
124897574
132c0b4b0
141c3ccc0
151392d4a
hexd7ab68

14134120 has 128 divisors (see below), whose sum is σ = 42819840. Its totient is φ = 4055040.

The previous prime is 14134103. The next prime is 14134129. The reversal of 14134120 is 2143141.

It is a junction number, because it is equal to n+sod(n) for n = 14134094 and 14134103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14134129) 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, 39864 + ... + 40216.

It is an arithmetic number, because the mean of its divisors is an integer number (334530).

Almost surely, 214134120 is an apocalyptic number.

14134120 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 14134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21409920).

14134120 is an abundant number, since it is smaller than the sum of its proper divisors (28685720).

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

14134120 is a wasteful number, since it uses less digits than its factorization.

14134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 14134120 is about 3759.5372055613. The cubic root of 14134120 is about 241.7814204650.

Adding to 14134120 its reverse (2143141), we get a palindrome (16277261).

The spelling of 14134120 in words is "fourteen million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 353 364 385 440 455 520 572 616 706 715 728 770 910 1001 1144 1412 1430 1540 1765 1820 2002 2471 2824 2860 3080 3530 3640 3883 4004 4589 4942 5005 5720 7060 7766 8008 9178 9884 10010 12355 14120 15532 18356 19415 19768 20020 22945 24710 27181 31064 32123 36712 38830 40040 45890 49420 50479 54362 64246 77660 91780 98840 100958 108724 128492 135905 155320 160615 183560 201916 217448 252395 256984 271810 321230 353353 403832 504790 543620 642460 706706 1009580 1087240 1284920 1413412 1766765 2019160 2826824 3533530 7067060 14134120