Search a number
-
+
14038192 = 2471773101
BaseRepresentation
bin110101100011…
…010010110000
3222102012210001
4311203102300
512043210232
61220515344
7230215450
oct65432260
928365701
1014038192
117a19113
12484bb54
132ba692c
141c15d60
1513746e7
hexd634b0

14038192 has 80 divisors (see below), whose sum is σ = 33694272. Its totient is φ = 5529600.

The previous prime is 14038183. The next prime is 14038201. The reversal of 14038192 is 29183041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14038183) and next prime (14038201).

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 14038192.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138942 + ... + 139042.

Almost surely, 214038192 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 14038192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16847136).

14038192 is an abundant number, since it is smaller than the sum of its proper divisors (19656080).

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

14038192 is a wasteful number, since it uses less digits than its factorization.

14038192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 14038192 is about 3746.7575315198. The cubic root of 14038192 is about 241.2331896973.

The spelling of 14038192 in words is "fourteen million, thirty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 73 101 112 119 136 146 202 238 272 292 404 476 511 584 707 808 952 1022 1168 1241 1414 1616 1717 1904 2044 2482 2828 3434 4088 4964 5656 6868 7373 8176 8687 9928 11312 12019 13736 14746 17374 19856 24038 27472 29492 34748 48076 51611 58984 69496 96152 103222 117968 125341 138992 192304 206444 250682 412888 501364 825776 877387 1002728 1754774 2005456 3509548 7019096 14038192