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14149380 = 2235759571
BaseRepresentation
bin110101111110…
…011100000100
3222121212022010
4311332130010
512110240010
61223134220
7231160560
oct65763404
928555263
1014149380
117a94703
1248a4370
132c1541b
141c446a0
151397620
hexd7e704

14149380 has 96 divisors (see below), whose sum is σ = 46126080. Its totient is φ = 3173760.

The previous prime is 14149379. The next prime is 14149381. The reversal of 14149380 is 8394141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14149379) and next prime (14149381).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (14149381) 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 31 ways as a sum of consecutive naturals, for example, 24495 + ... + 25065.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 214149380 is an apocalyptic number.

14149380 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 14149380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23063040).

14149380 is an abundant number, since it is smaller than the sum of its proper divisors (31976700).

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

14149380 is a wasteful number, since it uses less digits than its factorization.

14149380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 14149380 is about 3761.5661631826. The cubic root of 14149380 is about 241.8684028274.

The spelling of 14149380 in words is "fourteen million, one hundred forty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 59 60 70 84 105 118 140 177 210 236 295 354 413 420 571 590 708 826 885 1142 1180 1239 1652 1713 1770 2065 2284 2478 2855 3426 3540 3997 4130 4956 5710 6195 6852 7994 8260 8565 11420 11991 12390 15988 17130 19985 23982 24780 33689 34260 39970 47964 59955 67378 79940 101067 119910 134756 168445 202134 235823 239820 336890 404268 471646 505335 673780 707469 943292 1010670 1179115 1414938 2021340 2358230 2829876 3537345 4716460 7074690 14149380