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14713680 = 2435101607
BaseRepresentation
bin111000001000…
…001101010000
31000200112101010
4320020031100
512231314210
61243210520
7236031012
oct70101520
930615333
1014713680
11833a673
124b16a40
133082227
141d501b2
151459920
hexe08350

14713680 has 80 divisors (see below), whose sum is σ = 46139904. Its totient is φ = 3878400.

The previous prime is 14713651. The next prime is 14713681. The reversal of 14713680 is 8631741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14713681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23937 + ... + 24543.

Almost surely, 214713680 is an apocalyptic number.

14713680 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 14713680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23069952).

14713680 is an abundant number, since it is smaller than the sum of its proper divisors (31426224).

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

14713680 is a wasteful number, since it uses less digits than its factorization.

14713680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 14713680 is about 3835.8414982895. The cubic root of 14713680 is about 245.0419475586.

It can be divided in two parts, 1471 and 3680, that added together give a triangular number (5151 = T101).

The spelling of 14713680 in words is "fourteen million, seven hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 607 808 1010 1212 1214 1515 1616 1821 2020 2424 2428 3030 3035 3642 4040 4848 4856 6060 6070 7284 8080 9105 9712 12120 12140 14568 18210 24240 24280 29136 36420 48560 61307 72840 122614 145680 183921 245228 306535 367842 490456 613070 735684 919605 980912 1226140 1471368 1839210 2452280 2942736 3678420 4904560 7356840 14713680