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14147840 = 28571579
BaseRepresentation
bin110101111110…
…000100000000
3222121210012002
4311332010000
512110212330
61223123132
7231153230
oct65760400
928553162
1014147840
117a93533
1248a34a8
132c14805
141c43cc0
151396e45
hexd7e100

14147840 has 72 divisors (see below), whose sum is σ = 38754240. Its totient is φ = 4847616.

The previous prime is 14147839. The next prime is 14147843. The reversal of 14147840 is 4874141.

It is a super-2 number, since 2×141478402 = 400322753331200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14147843) 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, 8171 + ... + 9749.

Almost surely, 214147840 is an apocalyptic number.

14147840 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 14147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19377120).

14147840 is an abundant number, since it is smaller than the sum of its proper divisors (24606400).

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

14147840 is an equidigital number, since it uses as much as digits as its factorization.

14147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 14147840 is about 3761.3614556434. The cubic root of 14147840 is about 241.8596276289.

The spelling of 14147840 in words is "fourteen million, one hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1579 1792 2240 3158 4480 6316 7895 8960 11053 12632 15790 22106 25264 31580 44212 50528 55265 63160 88424 101056 110530 126320 176848 202112 221060 252640 353696 404224 442120 505280 707392 884240 1010560 1414784 1768480 2021120 2829568 3536960 7073920 14147840