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2713998 = 237192179
BaseRepresentation
bin1010010110100110001110
312002212220110
422112212032
51143321443
6134100450
732032350
oct12264616
95085813
102713998
111594081
12aaa726
13740421
145090d0
15389233
hex29698e

2713998 has 48 divisors (see below), whose sum is σ = 6583680. Its totient is φ = 730512.

The previous prime is 2713993. The next prime is 2714009. The reversal of 2713998 is 8993172.

2713998 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2713993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15073 + ... + 15251.

It is an arithmetic number, because the mean of its divisors is an integer number (137160).

22713998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2713998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291840).

2713998 is an abundant number, since it is smaller than the sum of its proper divisors (3869682).

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

2713998 is a wasteful number, since it uses less digits than its factorization.

2713998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 2713998 is about 1647.4216218078. The cubic root of 2713998 is about 139.4878909339.

The spelling of 2713998 in words is "two million, seven hundred thirteen thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 179 266 358 361 399 537 722 798 1074 1083 1253 2166 2506 2527 3401 3759 5054 6802 7518 7581 10203 15162 20406 23807 47614 64619 71421 129238 142842 193857 387714 452333 904666 1356999 2713998