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14650080 = 2535231327
BaseRepresentation
bin110111111000…
…101011100000
31000120022010120
4313320223200
512222300310
61242000240
7235344414
oct67705340
930508116
1014650080
1182a6905
124aa6080
13305c2b3
141d34d44
151445b70
hexdf8ae0

14650080 has 96 divisors (see below), whose sum is σ = 48190464. Its totient is φ = 3734016.

The previous prime is 14650063. The next prime is 14650091. The reversal of 14650080 is 8005641.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 14650080.

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, 10377 + ... + 11703.

It is an arithmetic number, because the mean of its divisors is an integer number (501984).

Almost surely, 214650080 is an apocalyptic number.

14650080 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 14650080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24095232).

14650080 is an abundant number, since it is smaller than the sum of its proper divisors (33540384).

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

14650080 is a wasteful number, since it uses less digits than its factorization.

14650080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 14650080 is about 3827.5422923855. The cubic root of 14650080 is about 244.6883723621.

The spelling of 14650080 in words is "fourteen million, six hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1327 1380 1840 2208 2654 2760 3680 3981 5308 5520 6635 7962 10616 11040 13270 15924 19905 21232 26540 30521 31848 39810 42464 53080 61042 63696 79620 91563 106160 122084 127392 152605 159240 183126 212320 244168 305210 318480 366252 457815 488336 610420 636960 732504 915630 976672 1220840 1465008 1831260 2441680 2930016 3662520 4883360 7325040 14650080