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14057064 = 233571033
BaseRepresentation
bin110101100111…
…111001101000
3222110011200000
4311213321220
512044311224
61221143000
7230324460
oct65477150
928404600
1014057064
117a3130a
12485aa60
132bb23b8
141c1cba0
15137a0c9
hexd67e68

14057064 has 96 divisors (see below), whose sum is σ = 45165120. Its totient is φ = 4012416.

The previous prime is 14057051. The next prime is 14057081. The reversal of 14057064 is 46075041.

It is a super-3 number, since 3×140570643 (a number of 22 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13092 + ... + 14124.

It is an arithmetic number, because the mean of its divisors is an integer number (470470).

Almost surely, 214057064 is an apocalyptic number.

14057064 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 14057064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22582560).

14057064 is an abundant number, since it is smaller than the sum of its proper divisors (31108056).

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

14057064 is a wasteful number, since it uses less digits than its factorization.

14057064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 14057064 is about 3749.2751299418. The cubic root of 14057064 is about 241.3412405116.

The spelling of 14057064 in words is "fourteen million, fifty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1033 1134 1512 1701 1944 2066 2268 3099 3402 4132 4536 6198 6804 7231 8264 9297 12396 13608 14462 18594 21693 24792 27891 28924 37188 43386 55782 57848 65079 74376 83673 86772 111564 130158 167346 173544 195237 223128 251019 260316 334692 390474 502038 520632 585711 669384 780948 1004076 1171422 1561896 1757133 2008152 2342844 3514266 4685688 7028532 14057064