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14376480 = 253561491
BaseRepresentation
bin110110110101…
…111000100000
31000001101211020
4312311320200
512140021410
61232045440
7233124636
oct66657040
930041736
1014376480
11812a298
124993880
132c948c1
141ca3356
1513dea70
hexdb5e20

14376480 has 96 divisors (see below), whose sum is σ = 46122048. Its totient is φ = 3763200.

The previous prime is 14376463. The next prime is 14376487. The reversal of 14376480 is 8467341.

14376480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (14376487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29035 + ... + 29525.

It is an arithmetic number, because the mean of its divisors is an integer number (480438).

Almost surely, 214376480 is an apocalyptic number.

14376480 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 14376480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23061024).

14376480 is an abundant number, since it is smaller than the sum of its proper divisors (31745568).

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

14376480 is a wasteful number, since it uses less digits than its factorization.

14376480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 14376480 is about 3791.6328936225. The cubic root of 14376480 is about 243.1555507986.

The spelling of 14376480 in words is "fourteen million, three hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 491 610 732 915 976 982 1220 1464 1473 1830 1952 1964 2440 2455 2928 2946 3660 3928 4880 4910 5856 5892 7320 7365 7856 9760 9820 11784 14640 14730 15712 19640 23568 29280 29460 29951 39280 47136 58920 59902 78560 89853 117840 119804 149755 179706 235680 239608 299510 359412 449265 479216 599020 718824 898530 958432 1198040 1437648 1797060 2396080 2875296 3594120 4792160 7188240 14376480