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93981141 = 342940009
BaseRepresentation
bin1011001101000…
…00100111010101
320112211201220000
411212200213111
5143024344031
613154201513
72220553332
oct546404725
9215751800
1093981141
1149060471
1227583299
1316617057
14c6a5989
1583b63e6
hex59a09d5

93981141 has 20 divisors (see below), whose sum is σ = 145236300. Its totient is φ = 60492096.

The previous prime is 93981131. The next prime is 93981169. The reversal of 93981141 is 14118939.

It can be written as a sum of positive squares in 2 ways, for example, as 80030916 + 13950225 = 8946^2 + 3735^2 .

It is not a de Polignac number, because 93981141 - 25 = 93981109 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 93981096 and 93981105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93981131) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 17656 + ... + 22353.

It is an arithmetic number, because the mean of its divisors is an integer number (7261815).

Almost surely, 293981141 is an apocalyptic number.

It is an amenable number.

93981141 is a deficient number, since it is larger than the sum of its proper divisors (51255159).

93981141 is a wasteful number, since it uses less digits than its factorization.

93981141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40050 (or 40041 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 93981141 is about 9694.3870873821. The cubic root of 93981141 is about 454.6531849754.

The spelling of 93981141 in words is "ninety-three million, nine hundred eighty-one thousand, one hundred forty-one".

Divisors: 1 3 9 27 29 81 87 261 783 2349 40009 120027 360081 1080243 1160261 3240729 3480783 10442349 31327047 93981141