Search a number
-
+
14013120 = 2635111327
BaseRepresentation
bin110101011101…
…001011000000
3222100221101110
4311131023000
512041404440
61220203320
7230052402
oct65351300
928327343
1014013120
117a012a0
124839540
132b983b4
141c0ab72
15136c080
hexd5d2c0

14013120 has 112 divisors (see below), whose sum is σ = 48572928. Its totient is φ = 3394560.

The previous prime is 14013107. The next prime is 14013133. The reversal of 14013120 is 2131041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14013107) and next prime (14013133).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 14013096 and 14013105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9897 + ... + 11223.

Almost surely, 214013120 is an apocalyptic number.

14013120 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 14013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24286464).

14013120 is an abundant number, since it is smaller than the sum of its proper divisors (34559808).

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

14013120 is a wasteful number, since it uses less digits than its factorization.

14013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 14013120 is about 3743.4102099556. The cubic root of 14013120 is about 241.0894911647.

Adding to 14013120 its reverse (2131041), we get a palindrome (16144161).

The spelling of 14013120 in words is "fourteen million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1327 1760 2112 2640 2654 3520 3981 5280 5308 6635 7962 10560 10616 13270 14597 15924 19905 21232 26540 29194 31848 39810 42464 43791 53080 58388 63696 72985 79620 84928 87582 106160 116776 127392 145970 159240 175164 212320 218955 233552 254784 291940 318480 350328 424640 437910 467104 583880 636960 700656 875820 934208 1167760 1273920 1401312 1751640 2335520 2802624 3503280 4671040 7006560 14013120