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14076960 = 253529327
BaseRepresentation
bin110101101100…
…110000100000
3222111011221220
4311230300200
512100430320
61221415040
7230436462
oct65546040
928434856
1014076960
117a45257
12486a480
132bbb481
141c26132
151380e40
hexd6cc20

14076960 has 48 divisors (see below), whose sum is σ = 44343936. Its totient is φ = 3753728.

The previous prime is 14076949. The next prime is 14076961. The reversal of 14076960 is 6967041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14076961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14184 + ... + 15143.

It is an arithmetic number, because the mean of its divisors is an integer number (923832).

Almost surely, 214076960 is an apocalyptic number.

14076960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14076960 is an abundant number, since it is smaller than the sum of its proper divisors (30266976).

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

14076960 is a wasteful number, since it uses less digits than its factorization.

14076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29345 (or 29337 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 14076960 is about 3751.9275046301. The cubic root of 14076960 is about 241.4550495234.

The spelling of 14076960 in words is "fourteen million, seventy-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 29327 58654 87981 117308 146635 175962 234616 293270 351924 439905 469232 586540 703848 879810 938464 1173080 1407696 1759620 2346160 2815392 3519240 4692320 7038480 14076960