Search a number
-
+
13924080 = 2432583233
BaseRepresentation
bin110101000111…
…011011110000
3222012102020200
4311013123300
512031032310
61214235200
7226231662
oct65073360
928172220
1013924080
117950405
1247b5b00
132b66a01
141bc6532
1513509c0
hexd476f0

13924080 has 120 divisors (see below), whose sum is σ = 47528208. Its totient is φ = 3652608.

The previous prime is 13924073. The next prime is 13924109. The reversal of 13924080 is 8042931.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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, 59644 + ... + 59876.

Almost surely, 213924080 is an apocalyptic number.

13924080 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 13924080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23764104).

13924080 is an abundant number, since it is smaller than the sum of its proper divisors (33604128).

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

13924080 is a wasteful number, since it uses less digits than its factorization.

13924080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13924080 is about 3731.4983585686. The cubic root of 13924080 is about 240.5777746192.

The spelling of 13924080 in words is "thirteen million, nine hundred twenty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 83 90 120 144 166 180 233 240 249 332 360 415 466 498 664 699 720 747 830 932 996 1165 1245 1328 1398 1494 1660 1864 1992 2097 2330 2490 2796 2988 3320 3495 3728 3735 3984 4194 4660 4980 5592 5976 6640 6990 7470 8388 9320 9960 10485 11184 11952 13980 14940 16776 18640 19339 19920 20970 27960 29880 33552 38678 41940 55920 58017 59760 77356 83880 96695 116034 154712 167760 174051 193390 232068 290085 309424 348102 386780 464136 580170 696204 773560 870255 928272 1160340 1392408 1547120 1740510 2320680 2784816 3481020 4641360 6962040 13924080