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14356640 = 255531693
BaseRepresentation
bin110110110001…
…000010100000
31000000101121102
4312301002200
512133403030
61231413532
7233013044
oct66610240
930011542
1014356640
1181163a1
1249842a8
132c8886c
141c9a024
1513d8c45
hexdb10a0

14356640 has 48 divisors (see below), whose sum is σ = 34577928. Its totient is φ = 5630976.

The previous prime is 14356637. The next prime is 14356649. The reversal of 14356640 is 4665341.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12082576 + 2274064 = 3476^2 + 1508^2 .

It is a super-2 number, since 2×143566402 = 412226224179200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14356649) 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, 7634 + ... + 9326.

Almost surely, 214356640 is an apocalyptic number.

14356640 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 14356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17288964).

14356640 is an abundant number, since it is smaller than the sum of its proper divisors (20221288).

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

14356640 is a wasteful number, since it uses less digits than its factorization.

14356640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 14356640 is about 3789.0157033193. The cubic root of 14356640 is about 243.0436451718.

The spelling of 14356640 in words is "fourteen million, three hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1693 1696 2120 3386 4240 6772 8465 8480 13544 16930 27088 33860 54176 67720 89729 135440 179458 270880 358916 448645 717832 897290 1435664 1794580 2871328 3589160 7178320 14356640