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993141 = 356167
BaseRepresentation
bin11110010011101110101
31212110100000
43302131311
5223240031
633141513
711304312
oct3623565
91773300
10993141
11619186
123ba899
1328a076
141bbd09
151493e6
hexf2775

993141 has 24 divisors (see below), whose sum is σ = 1534624. Its totient is φ = 641520.

The previous prime is 993137. The next prime is 993169. The reversal of 993141 is 141399.

It is not a de Polignac number, because 993141 - 22 = 993137 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993121) 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 23 ways as a sum of consecutive naturals, for example, 14790 + ... + 14856.

2993141 is an apocalyptic number.

It is an amenable number.

993141 is a deficient number, since it is larger than the sum of its proper divisors (541483).

993141 is an equidigital number, since it uses as much as digits as its factorization.

993141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 993141 is about 996.5645990100. The cubic root of 993141 is about 99.7708419336.

It can be divided in two parts, 99 and 3141, that added together give a triangular number (3240 = T80).

The spelling of 993141 in words is "nine hundred ninety-three thousand, one hundred forty-one".

Divisors: 1 3 9 27 61 67 81 183 201 243 549 603 1647 1809 4087 4941 5427 12261 14823 16281 36783 110349 331047 993141