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14665040 = 2451359239
BaseRepresentation
bin110111111100…
…010101010000
31000121001122122
4313330111100
512223240130
61242153412
7235436135
oct67742520
930531578
1014665040
118307075
124ab2868
133066050
141d3a58c
15144a2e5
hexdfc550

14665040 has 80 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 5300736.

The previous prime is 14665019. The next prime is 14665051. The reversal of 14665040 is 4056641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

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 15 ways as a sum of consecutive naturals, for example, 61241 + ... + 61479.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 214665040 is an apocalyptic number.

14665040 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 14665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

14665040 is an abundant number, since it is smaller than the sum of its proper divisors (22832560).

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

14665040 is a wasteful number, since it uses less digits than its factorization.

14665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 14665040 is about 3829.4960503962. The cubic root of 14665040 is about 244.7716322661.

The spelling of 14665040 in words is "fourteen million, six hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 59 65 80 104 118 130 208 236 239 260 295 472 478 520 590 767 944 956 1040 1180 1195 1534 1912 2360 2390 3068 3107 3824 3835 4720 4780 6136 6214 7670 9560 12272 12428 14101 15340 15535 19120 24856 28202 30680 31070 49712 56404 61360 62140 70505 112808 124280 141010 183313 225616 248560 282020 366626 564040 733252 916565 1128080 1466504 1833130 2933008 3666260 7332520 14665040