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14297920 = 265713491
BaseRepresentation
bin110110100010…
…101101000000
3222220102001121
4312202231000
512130013140
61230242024
7232346620
oct66425500
928812047
1014297920
11808626a
124956314
132c67c10
141c82880
1513c664a
hexda2b40

14297920 has 112 divisors (see below), whose sum is σ = 41989248. Its totient is φ = 4515840.

The previous prime is 14297869. The next prime is 14297923. The reversal of 14297920 is 2979241.

14297920 = T259 + T260 + ... + T468.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-5 number, since 5×142979205 (a number of 37 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14297923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28875 + ... + 29365.

It is an arithmetic number, because the mean of its divisors is an integer number (374904).

Almost surely, 214297920 is an apocalyptic number.

14297920 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 14297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20994624).

14297920 is an abundant number, since it is smaller than the sum of its proper divisors (27691328).

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

14297920 is a wasteful number, since it uses less digits than its factorization.

14297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 14297920 is about 3781.2590495759. The cubic root of 14297920 is about 242.7118353039.

The spelling of 14297920 in words is "fourteen million, two hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 491 520 560 728 832 910 982 1040 1120 1456 1820 1964 2080 2240 2455 2912 3437 3640 3928 4160 4910 5824 6383 6874 7280 7856 9820 12766 13748 14560 15712 17185 19640 25532 27496 29120 31424 31915 34370 39280 44681 51064 54992 63830 68740 78560 89362 102128 109984 127660 137480 157120 178724 204256 219968 223405 255320 274960 357448 408512 446810 510640 549920 714896 893620 1021280 1099840 1429792 1787240 2042560 2859584 3574480 7148960 14297920