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14379640 = 2351122971
BaseRepresentation
bin110110110110…
…101001111000
31000001120011021
4312312221320
512140122030
61232112224
7233140102
oct66665170
930046137
1014379640
118131700
124995674
132c96182
141ca4572
1513e097a
hexdb6a78

14379640 has 48 divisors (see below), whose sum is σ = 35574840. Its totient is φ = 5227200.

The previous prime is 14379619. The next prime is 14379647. The reversal of 14379640 is 4697341.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14379596 and 14379605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14379647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3355 + ... + 6325.

Almost surely, 214379640 is an apocalyptic number.

14379640 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 14379640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17787420).

14379640 is an abundant number, since it is smaller than the sum of its proper divisors (21195200).

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

14379640 is a wasteful number, since it uses less digits than its factorization.

14379640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 14379640 is about 3792.0495777350. The cubic root of 14379640 is about 243.1733649703.

The spelling of 14379640 in words is "fourteen million, three hundred seventy-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 2971 4840 5942 11884 14855 23768 29710 32681 59420 65362 118840 130724 163405 261448 326810 359491 653620 718982 1307240 1437964 1797455 2875928 3594910 7189820 14379640