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14106624 = 2143741
BaseRepresentation
bin110101110100…
…000000000000
3222112200122120
4311310000000
512102402444
61222204240
7230622120
oct65640000
928480576
1014106624
117a65574
124883680
132bcbb1c
141c32c80
151389b19
hexd74000

14106624 has 120 divisors (see below), whose sum is σ = 44038848. Its totient is φ = 3932160.

The previous prime is 14106619. The next prime is 14106637. The reversal of 14106624 is 42660141.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14106594 and 14106603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344044 + ... + 344084.

Almost surely, 214106624 is an apocalyptic number.

14106624 is a gapful number since it is divisible by the number (14) 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 14106624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22019424).

14106624 is an abundant number, since it is smaller than the sum of its proper divisors (29932224).

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

14106624 is an frugal number, since it uses more digits than its factorization.

14106624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

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

The square root of 14106624 is about 3755.8785922870. The cubic root of 14106624 is about 241.6245344440.

Adding to 14106624 its reverse (42660141), we get a palindrome (56766765).

The spelling of 14106624 in words is "fourteen million, one hundred six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 256 287 328 336 384 448 492 512 574 656 672 768 861 896 984 1024 1148 1312 1344 1536 1722 1792 1968 2048 2296 2624 2688 3072 3444 3584 3936 4096 4592 5248 5376 6144 6888 7168 7872 8192 9184 10496 10752 12288 13776 14336 15744 16384 18368 20992 21504 24576 27552 28672 31488 36736 41984 43008 49152 55104 57344 62976 73472 83968 86016 110208 114688 125952 146944 167936 172032 220416 251904 293888 335872 344064 440832 503808 587776 671744 881664 1007616 1175552 1763328 2015232 2351104 3526656 4702208 7053312 14106624