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14427612 = 2233197989
BaseRepresentation
bin110111000010…
…010111011100
31000010222222000
4313002113130
512143140422
61233122300
7233430003
oct67022734
930128860
1014427612
118164751
1249b9390
132cb1c64
141cb7c3a
1513eecac
hexdc25dc

14427612 has 96 divisors (see below), whose sum is σ = 40320000. Its totient is φ = 4447872.

The previous prime is 14427599. The next prime is 14427629. The reversal of 14427612 is 21672441.

14427612 is a `hidden beast` number, since 1 + 4 + 42 + 7 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2688) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162064 + ... + 162152.

It is an arithmetic number, because the mean of its divisors is an integer number (420000).

Almost surely, 214427612 is an apocalyptic number.

14427612 is a gapful number since it is divisible by the number (12) 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 14427612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160000).

14427612 is an abundant number, since it is smaller than the sum of its proper divisors (25892388).

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

14427612 is a wasteful number, since it uses less digits than its factorization.

14427612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 14427612 is about 3798.3696502579. The cubic root of 14427612 is about 243.4434821682.

The spelling of 14427612 in words is "fourteen million, four hundred twenty-seven thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 79 89 108 114 158 171 178 228 237 267 316 342 356 474 513 534 684 711 801 948 1026 1068 1422 1501 1602 1691 2052 2133 2403 2844 3002 3204 3382 4266 4503 4806 5073 6004 6764 7031 8532 9006 9612 10146 13509 14062 15219 18012 20292 21093 27018 28124 30438 40527 42186 45657 54036 60876 63279 81054 84372 91314 126558 133589 162108 182628 189837 253116 267178 379674 400767 534356 759348 801534 1202301 1603068 2404602 3606903 4809204 7213806 14427612