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14149728 = 253453103
BaseRepresentation
bin110101111110…
…100001100000
3222121212210000
4311332201200
512110242403
61223140000
7231161565
oct65764140
928555700
1014149728
117a9499a
1248a4600
132c15628
141c4486c
1513977a3
hexd7e860

14149728 has 120 divisors (see below), whose sum is σ = 42810768. Its totient is φ = 4582656.

The previous prime is 14149727. The next prime is 14149739. The reversal of 14149728 is 82794141.

14149728 is a `hidden beast` number, since 141 + 497 + 28 = 666.

14149728 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14149692 and 14149701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14149727) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137325 + ... + 137427.

Almost surely, 214149728 is an apocalyptic number.

14149728 is a gapful number since it is divisible by the number (18) 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 14149728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21405384).

14149728 is an abundant number, since it is smaller than the sum of its proper divisors (28661040).

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

14149728 is a wasteful number, since it uses less digits than its factorization.

14149728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 161 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 14149728 is about 3761.6124202262. The cubic root of 14149728 is about 241.8703857061.

The spelling of 14149728 in words is "fourteen million, one hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 81 96 103 106 108 144 159 162 206 212 216 288 309 318 324 412 424 432 477 618 636 648 824 848 864 927 954 1236 1272 1296 1431 1648 1696 1854 1908 2472 2544 2592 2781 2862 3296 3708 3816 4293 4944 5088 5459 5562 5724 7416 7632 8343 8586 9888 10918 11124 11448 14832 15264 16377 16686 17172 21836 22248 22896 29664 32754 33372 34344 43672 44496 45792 49131 65508 66744 68688 87344 88992 98262 131016 133488 137376 147393 174688 196524 262032 266976 294786 393048 442179 524064 589572 786096 884358 1179144 1572192 1768716 2358288 3537432 4716576 7074864 14149728