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14001660 = 223554367
BaseRepresentation
bin110101011010…
…010111111100
3222100100200000
4311122113330
512041023120
61220034300
7230004111
oct65322774
928310600
1014001660
1179a3722
124832990
132b9310a
141c06908
151368990
hexd5a5fc

14001660 has 144 divisors (see below), whose sum is σ = 45741696. Its totient is φ = 3592512.

The previous prime is 14001653. The next prime is 14001661. The reversal of 14001660 is 6610041.

14001660 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 660 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208947 + ... + 209013.

Almost surely, 214001660 is an apocalyptic number.

14001660 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 14001660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22870848).

14001660 is an abundant number, since it is smaller than the sum of its proper divisors (31740036).

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

14001660 is a wasteful number, since it uses less digits than its factorization.

14001660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14001660 is about 3741.8792070295. The cubic root of 14001660 is about 241.0237518414.

The spelling of 14001660 in words is "fourteen million, one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 67 81 86 90 108 129 134 135 162 172 180 201 215 243 258 268 270 324 335 387 402 405 430 486 516 540 603 645 670 774 804 810 860 972 1005 1161 1206 1215 1290 1340 1548 1620 1809 1935 2010 2322 2412 2430 2580 2881 3015 3483 3618 3870 4020 4644 4860 5427 5762 5805 6030 6966 7236 7740 8643 9045 10449 10854 11524 11610 12060 13932 14405 16281 17286 17415 18090 20898 21708 23220 25929 27135 28810 32562 34572 34830 36180 41796 43215 51858 52245 54270 57620 65124 69660 77787 81405 86430 103716 104490 108540 129645 155574 162810 172860 208980 233361 259290 311148 325620 388935 466722 518580 700083 777870 933444 1166805 1400166 1555740 2333610 2800332 3500415 4667220 7000830 14001660