Search a number
-
+
2107000 = 23537243
BaseRepresentation
bin1000000010011001111000
310222001021001
420002121320
51014411000
6113054344
723623600
oct10023170
93861231
102107000
11120a025
128573b4
1358a05c
143cbc00
152b946a
hex202678

2107000 has 96 divisors (see below), whose sum is σ = 5868720. Its totient is φ = 705600.

The previous prime is 2106991. The next prime is 2107003. The reversal of 2107000 is 7012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107003) 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, 48979 + ... + 49021.

22107000 is an apocalyptic number.

2107000 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 2107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934360).

2107000 is an abundant number, since it is smaller than the sum of its proper divisors (3761720).

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

2107000 is a wasteful number, since it uses less digits than its factorization.

2107000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 2107000 is about 1451.5508947329. The cubic root of 2107000 is about 128.2000452686.

The spelling of 2107000 in words is "two million, one hundred seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 49 50 56 70 86 98 100 125 140 172 175 196 200 215 245 250 280 301 344 350 392 430 490 500 602 700 860 875 980 1000 1075 1204 1225 1400 1505 1720 1750 1960 2107 2150 2408 2450 3010 3500 4214 4300 4900 5375 6020 6125 7000 7525 8428 8600 9800 10535 10750 12040 12250 15050 16856 21070 21500 24500 30100 37625 42140 43000 49000 52675 60200 75250 84280 105350 150500 210700 263375 301000 421400 526750 1053500 2107000