Search a number
-
+
13914120 = 23351183127
BaseRepresentation
bin110101000101…
…000000001000
3222011220120210
4311011000020
512030222440
61214121120
7226160643
oct65050010
928156523
1013914120
117943980
1247b01a0
132b6230c
141bc2a5a
15134ca80
hexd45008

13914120 has 128 divisors (see below), whose sum is σ = 46448640. Its totient is φ = 3306240.

The previous prime is 13914119. The next prime is 13914127. The reversal of 13914120 is 2141931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13914127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109497 + ... + 109623.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 213914120 is an apocalyptic number.

13914120 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 13914120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224320).

13914120 is an abundant number, since it is smaller than the sum of its proper divisors (32534520).

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

13914120 is a wasteful number, since it uses less digits than its factorization.

13914120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 13914120 is about 3730.1635352890. The cubic root of 13914120 is about 240.5203985677.

The spelling of 13914120 in words is "thirteen million, nine hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 83 88 110 120 127 132 165 166 220 249 254 264 330 332 381 415 440 498 508 635 660 664 762 830 913 996 1016 1245 1270 1320 1397 1524 1660 1826 1905 1992 2490 2540 2739 2794 3048 3320 3652 3810 4191 4565 4980 5080 5478 5588 6985 7304 7620 8382 9130 9960 10541 10956 11176 13695 13970 15240 16764 18260 20955 21082 21912 27390 27940 31623 33528 36520 41910 42164 52705 54780 55880 63246 83820 84328 105410 109560 115951 126492 158115 167640 210820 231902 252984 316230 347853 421640 463804 579755 632460 695706 927608 1159510 1264920 1391412 1739265 2319020 2782824 3478530 4638040 6957060 13914120