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14007180 = 223511191117
BaseRepresentation
bin110101011011…
…101110001100
3222100122020110
4311123232030
512041212210
61220120020
7230026155
oct65335614
928318213
1014007180
1179a7890
124836010
132b95795
141c0892c
15136a420
hexd5bb8c

14007180 has 96 divisors (see below), whose sum is σ = 45077760. Its totient is φ = 3214080.

The previous prime is 14007157. The next prime is 14007181. The reversal of 14007180 is 8170041.

It is not an unprimeable number, because it can be changed into a prime (14007181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11982 + ... + 13098.

It is an arithmetic number, because the mean of its divisors is an integer number (469560).

Almost surely, 214007180 is an apocalyptic number.

14007180 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 14007180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22538880).

14007180 is an abundant number, since it is smaller than the sum of its proper divisors (31070580).

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

14007180 is a wasteful number, since it uses less digits than its factorization.

14007180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 14007180 is about 3742.6167316465. The cubic root of 14007180 is about 241.0554213318.

The spelling of 14007180 in words is "fourteen million, seven thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1117 1140 1254 2090 2234 2508 3135 3351 4180 4468 5585 6270 6702 11170 12287 12540 13404 16755 21223 22340 24574 33510 36861 42446 49148 61435 63669 67020 73722 84892 106115 122870 127338 147444 184305 212230 233453 245740 254676 318345 368610 424460 466906 636690 700359 737220 933812 1167265 1273380 1400718 2334530 2801436 3501795 4669060 7003590 14007180