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993377 = 72111997
BaseRepresentation
bin11110010100001100001
31212110122202
43302201201
5223242002
633142545
711305100
oct3624141
91773582
10993377
11619380
123baa55
1328a1c8
141bc037
15149502
hexf2861

993377 has 24 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 725760.

The previous prime is 993367. The next prime is 993397. The reversal of 993377 is 773399.

It is not a de Polignac number, because 993377 - 28 = 993121 is a prime.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 993377.

It is not an unprimeable number, because it can be changed into a prime (993367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10193 + ... + 10289.

It is an arithmetic number, because the mean of its divisors is an integer number (55860).

2993377 is an apocalyptic number.

993377 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

It is an amenable number.

993377 is a deficient number, since it is larger than the sum of its proper divisors (347263).

993377 is a wasteful number, since it uses less digits than its factorization.

993377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 134 counting only the distinct ones).

The product of its digits is 35721, while the sum is 38.

The square root of 993377 is about 996.6829987514. The cubic root of 993377 is about 99.7787441529.

The spelling of 993377 in words is "nine hundred ninety-three thousand, three hundred seventy-seven".

Divisors: 1 7 11 19 49 77 97 133 209 539 679 931 1067 1463 1843 4753 7469 10241 12901 20273 52283 90307 141911 993377