Search a number
-
+
14107896 = 23321147379
BaseRepresentation
bin110101110100…
…010011111000
3222112202101200
4311310103320
512102423041
61222214200
7230625615
oct65642370
928482350
1014107896
117a66520
124884360
132bcc58a
141c3350c
15138a1b6
hexd744f8

14107896 has 96 divisors (see below), whose sum is σ = 42681600. Its totient is φ = 4173120.

The previous prime is 14107889. The next prime is 14107921. The reversal of 14107896 is 69870141.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 14107896.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 37035 + ... + 37413.

It is an arithmetic number, because the mean of its divisors is an integer number (444600).

Almost surely, 214107896 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 14107896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21340800).

14107896 is an abundant number, since it is smaller than the sum of its proper divisors (28573704).

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

14107896 is a wasteful number, since it uses less digits than its factorization.

14107896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 14107896 is about 3756.0479230170. The cubic root of 14107896 is about 241.6317966864.

The spelling of 14107896 in words is "fourteen million, one hundred seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 47 66 72 88 94 99 132 141 188 198 264 282 376 379 396 423 517 564 758 792 846 1034 1128 1137 1516 1551 1692 2068 2274 3032 3102 3384 3411 4136 4169 4548 4653 6204 6822 8338 9096 9306 12408 12507 13644 16676 17813 18612 25014 27288 33352 35626 37224 37521 50028 53439 71252 75042 100056 106878 142504 150084 160317 195943 213756 300168 320634 391886 427512 587829 641268 783772 1175658 1282536 1567544 1763487 2351316 3526974 4702632 7053948 14107896