Search a number
-
+
14157180 = 22365971
BaseRepresentation
bin110110000000…
…010101111100
3222122021000000
4312000111330
512111012210
61223234300
7231222402
oct66002574
928567000
1014157180
117a9a554
1248a8990
132c18b3b
141c47472
151399ac0
hexd8057c

14157180 has 84 divisors (see below), whose sum is σ = 44620632. Its totient is φ = 3771360.

The previous prime is 14157137. The next prime is 14157181. The reversal of 14157180 is 8175141.

14157180 is a `hidden beast` number, since 14 + 1 + 571 + 80 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14157181) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 14095 + ... + 15065.

It is an arithmetic number, because the mean of its divisors is an integer number (531198).

Almost surely, 214157180 is an apocalyptic number.

14157180 is a gapful number since it is divisible by the number (10) 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 14157180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22310316).

14157180 is an abundant number, since it is smaller than the sum of its proper divisors (30463452).

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

14157180 is an equidigital number, since it uses as much as digits as its factorization.

14157180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 14157180 is about 3762.6028225153. The cubic root of 14157180 is about 241.9128388612.

The spelling of 14157180 in words is "fourteen million, one hundred fifty-seven thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 971 972 1215 1458 1620 1942 2430 2913 2916 3645 3884 4855 4860 5826 7290 8739 9710 11652 14565 14580 17478 19420 26217 29130 34956 43695 52434 58260 78651 87390 104868 131085 157302 174780 235953 262170 314604 393255 471906 524340 707859 786510 943812 1179765 1415718 1573020 2359530 2831436 3539295 4719060 7078590 14157180