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2107140 = 2235729173
BaseRepresentation
bin1000000010011100000100
310222001110020
420002130010
51014412030
6113055140
723624160
oct10023404
93861406
102107140
11120a142
128574b0
1358a139
143cbca0
152b9510
hex202704

2107140 has 96 divisors (see below), whose sum is σ = 7015680. Its totient is φ = 462336.

The previous prime is 2107117. The next prime is 2107141. The reversal of 2107140 is 417012.

2107140 = T449 + T450 + ... + T468.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2107141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12094 + ... + 12266.

It is an arithmetic number, because the mean of its divisors is an integer number (73080).

22107140 is an apocalyptic number.

2107140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2107140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507840).

2107140 is an abundant number, since it is smaller than the sum of its proper divisors (4908540).

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

2107140 is a wasteful number, since it uses less digits than its factorization.

2107140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 2107140 is about 1451.5991182141. The cubic root of 2107140 is about 128.2028846308.

The spelling of 2107140 in words is "two million, one hundred seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 173 174 203 210 290 346 348 406 420 435 519 580 609 692 812 865 870 1015 1038 1211 1218 1730 1740 2030 2076 2422 2436 2595 3045 3460 3633 4060 4844 5017 5190 6055 6090 7266 10034 10380 12110 12180 14532 15051 18165 20068 24220 25085 30102 35119 36330 50170 60204 70238 72660 75255 100340 105357 140476 150510 175595 210714 301020 351190 421428 526785 702380 1053570 2107140