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78141 = 37612
BaseRepresentation
bin10011000100111101
310222012010
4103010331
510000031
61401433
7443550
oct230475
9128163
1078141
1153788
1239279
132974b
1420697
1518246
hex1313d

78141 has 12 divisors (see below), whose sum is σ = 121056. Its totient is φ = 43920.

The previous prime is 78139. The next prime is 78157. The reversal of 78141 is 14187.

It is not a de Polignac number, because 78141 - 21 = 78139 is a prime.

It is a super-2 number, since 2×781412 = 12212031762, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

78141 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1251 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (10088).

278141 is an apocalyptic number.

It is an amenable number.

78141 is a deficient number, since it is larger than the sum of its proper divisors (42915).

78141 is an equidigital number, since it uses as much as digits as its factorization.

78141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 71 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 78141 is about 279.5371173923. The cubic root of 78141 is about 42.7523168267.

Multiplying 78141 by its sum of digits (21), we get a square (1640961 = 12812).

78141 divided by its sum of digits (21) gives a square (3721 = 612).

The spelling of 78141 in words is "seventy-eight thousand, one hundred forty-one".

Divisors: 1 3 7 21 61 183 427 1281 3721 11163 26047 78141