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14035672 = 237534729
BaseRepresentation
bin110101100010…
…101011011000
3222102002022201
4311202223120
512043120142
61220455544
7230205220
oct65425330
928362281
1014035672
117a17232
12484a5b4
132ba5741
141c15080
151373ab7
hexd62ad8

14035672 has 32 divisors (see below), whose sum is σ = 30650400. Its totient is φ = 5900544.

The previous prime is 14035649. The next prime is 14035709. The reversal of 14035672 is 27653041.

14035672 is digitally balanced in base 2, because in such base 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 (28).

It is a self number, because there is not a number n which added to its sum of digits gives 14035672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 604 + ... + 5332.

It is an arithmetic number, because the mean of its divisors is an integer number (957825).

Almost surely, 214035672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14035672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15325200).

14035672 is an abundant number, since it is smaller than the sum of its proper divisors (16614728).

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

14035672 is a wasteful number, since it uses less digits than its factorization.

14035672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4795 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 14035672 is about 3746.4212256499. The cubic root of 14035672 is about 241.2187542198.

The spelling of 14035672 in words is "fourteen million, thirty-five thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 1484 2968 4729 9458 18916 33103 37832 66206 132412 250637 264824 501274 1002548 1754459 2005096 3508918 7017836 14035672