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2093337 = 33314161
BaseRepresentation
bin111111111000100011001
310221100112000
413333010121
51013441322
6112511213
723536011
oct7770431
93840460
102093337
1111aa834
1284b509
13583a7c
143c6c41
152b53ac
hex1ff119

2093337 has 32 divisors (see below), whose sum is σ = 3333120. Its totient is φ = 1296000.

The previous prime is 2093327. The next prime is 2093339. The reversal of 2093337 is 7333902.

It is not a de Polignac number, because 2093337 - 24 = 2093321 is a prime.

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

2093337 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2093337.

It is not an unprimeable number, because it can be changed into a prime (2093339) 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 31 ways as a sum of consecutive naturals, for example, 34287 + ... + 34347.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

22093337 is an apocalyptic number.

2093337 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2093337 is a deficient number, since it is larger than the sum of its proper divisors (1239783).

2093337 is a wasteful number, since it uses less digits than its factorization.

2093337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 2093337 is about 1446.8368947466. The cubic root of 2093337 is about 127.9223365138.

The spelling of 2093337 in words is "two million, ninety-three thousand, three hundred thirty-seven".

Divisors: 1 3 9 27 31 41 61 93 123 183 279 369 549 837 1107 1271 1647 1891 2501 3813 5673 7503 11439 17019 22509 34317 51057 67527 77531 232593 697779 2093337