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2093742 = 233729191
BaseRepresentation
bin111111111001010101110
310221101002000
413333022232
51013444432
6112513130
723540130
oct7771256
93841060
102093742
111200072
1284b7a6
13584001
143c7050
152b557c
hex1ff2ae

2093742 has 64 divisors (see below), whose sum is σ = 5529600. Its totient is φ = 574560.

The previous prime is 2093701. The next prime is 2093761. The reversal of 2093742 is 2473902.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10867 + ... + 11057.

It is an arithmetic number, because the mean of its divisors is an integer number (86400).

22093742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2093742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764800).

2093742 is an abundant number, since it is smaller than the sum of its proper divisors (3435858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2093742 is a wasteful number, since it uses less digits than its factorization.

2093742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2093742 is about 1446.9768484672. The cubic root of 2093742 is about 127.9305857359.

The spelling of 2093742 in words is "two million, ninety-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 191 203 261 378 382 406 522 573 609 783 1146 1218 1337 1566 1719 1827 2674 3438 3654 4011 5157 5481 5539 8022 10314 10962 11078 12033 16617 24066 33234 36099 38773 49851 72198 77546 99702 116319 149553 232638 299106 348957 697914 1046871 2093742