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14151072 = 25313172329
BaseRepresentation
bin110101111110…
…110110100000
3222121221121210
4311332312200
512110313242
61223150120
7231165525
oct65766640
928557553
1014151072
117a95a01
1248a5340
132c16120
141c4514c
151397d9c
hexd7eda0

14151072 has 192 divisors, whose sum is σ = 45722880. Its totient is φ = 3784704.

The previous prime is 14151061. The next prime is 14151083. The reversal of 14151072 is 27015141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14151061) and next prime (14151083).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487954 + ... + 487982.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 214151072 is an apocalyptic number.

14151072 is a gapful number since it is divisible by the number (12) 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 14151072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861440).

14151072 is an abundant number, since it is smaller than the sum of its proper divisors (31571808).

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

14151072 is a wasteful number, since it uses less digits than its factorization.

14151072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 14151072 is about 3761.7910627785. The cubic root of 14151072 is about 241.8780434153.

The spelling of 14151072 in words is "fourteen million, one hundred fifty-one thousand, seventy-two".