Search a number
-
+
14087190 = 2351341881
BaseRepresentation
bin110101101111…
…010000010110
3222111200222210
4311233100112
512101242230
61221534250
7230511345
oct65572026
928450883
1014087190
117a51a07
124874386
132bc3020
141c29b5c
151383eb0
hexd6f416

14087190 has 64 divisors (see below), whose sum is σ = 37340352. Its totient is φ = 3379200.

The previous prime is 14087179. The next prime is 14087317. The reversal of 14087190 is 9178041.

It is a super-2 number, since 2×140871902 = 396897844192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 15550 + ... + 16430.

It is an arithmetic number, because the mean of its divisors is an integer number (583443).

Almost surely, 214087190 is an apocalyptic number.

14087190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14087190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18670176).

14087190 is an abundant number, since it is smaller than the sum of its proper divisors (23253162).

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

14087190 is a wasteful number, since it uses less digits than its factorization.

14087190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945.

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 14087190 is about 3753.2905562986. The cubic root of 14087190 is about 241.5135253839.

The spelling of 14087190 in words is "fourteen million, eighty-seven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 246 390 410 533 615 881 1066 1230 1599 1762 2643 2665 3198 4405 5286 5330 7995 8810 11453 13215 15990 22906 26430 34359 36121 57265 68718 72242 108363 114530 171795 180605 216726 343590 361210 469573 541815 939146 1083630 1408719 2347865 2817438 4695730 7043595 14087190