[go: up one dir, main page]

Search a number
-
+
14057680 = 2457131931
BaseRepresentation
bin110101101000…
…000011010000
3222110012111211
4311220003100
512044321210
61221145504
7230326330
oct65500320
928405454
1014057680
117a3181a
12485b294
132bb2770
141c1d0c0
15137a38a
hexd680d0

14057680 has 80 divisors (see below), whose sum is σ = 40247424. Its totient is φ = 4446720.

The previous prime is 14057677. The next prime is 14057713. The reversal of 14057680 is 8675041.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6315 + ... + 8245.

Almost surely, 214057680 is an apocalyptic number.

14057680 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 14057680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20123712).

14057680 is an abundant number, since it is smaller than the sum of its proper divisors (26189744).

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

14057680 is a wasteful number, since it uses less digits than its factorization.

14057680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 14057680 is about 3749.3572782545. The cubic root of 14057680 is about 241.3447657625.

The spelling of 14057680 in words is "fourteen million, fifty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 1931 3640 3862 7280 7724 9655 13517 15448 19310 25103 27034 30896 38620 50206 54068 67585 77240 100412 108136 125515 135170 154480 175721 200824 216272 251030 270340 351442 401648 502060 540680 702884 878605 1004120 1081360 1405768 1757210 2008240 2811536 3514420 7028840 14057680