[go: up one dir, main page]

Search a number
-
+
14101360 = 2457132149
BaseRepresentation
bin110101110010…
…101101110000
3222112102102121
4311302231300
512102220420
61222124024
7230600560
oct65625560
928472377
1014101360
117a61619
124880614
132bc9600
141c30da0
1513882aa
hexd72b70

14101360 has 120 divisors (see below), whose sum is σ = 40845600. Its totient is φ = 4432896.

The previous prime is 14101357. The next prime is 14101361. The reversal of 14101360 is 6310141.

14101360 = T105 + T106 + ... + T440.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14101361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94566 + ... + 94714.

It is an arithmetic number, because the mean of its divisors is an integer number (340380).

Almost surely, 214101360 is an apocalyptic number.

14101360 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 14101360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20422800).

14101360 is an abundant number, since it is smaller than the sum of its proper divisors (26744240).

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

14101360 is a wasteful number, since it uses less digits than its factorization.

14101360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 14101360 is about 3755.1777587752. The cubic root of 14101360 is about 241.5944759932.

The spelling of 14101360 in words is "fourteen million, one hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 149 169 182 208 260 280 298 338 364 455 520 560 596 676 728 745 845 910 1040 1043 1183 1192 1352 1456 1490 1690 1820 1937 2086 2366 2384 2704 2980 3380 3640 3874 4172 4732 5215 5915 5960 6760 7280 7748 8344 9464 9685 10430 11830 11920 13520 13559 15496 16688 18928 19370 20860 23660 25181 27118 30992 38740 41720 47320 50362 54236 67795 77480 83440 94640 100724 108472 125905 135590 154960 176267 201448 216944 251810 271180 352534 402896 503620 542360 705068 881335 1007240 1084720 1410136 1762670 2014480 2820272 3525340 7050680 14101360