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2006940 = 2235133183
BaseRepresentation
bin111101001111110011100
310202222000010
413221332130
51003210230
6111003220
723026065
oct7517634
93688003
102006940
111150931
12809510
13553650
143a356c
152999b0
hex1e9f9c

2006940 has 96 divisors (see below), whose sum is σ = 6322176. Its totient is φ = 472320.

The previous prime is 2006929. The next prime is 2006959. The reversal of 2006940 is 496002.

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, 24139 + ... + 24221.

It is an arithmetic number, because the mean of its divisors is an integer number (65856).

22006940 is an apocalyptic number.

2006940 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 2006940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161088).

2006940 is an abundant number, since it is smaller than the sum of its proper divisors (4315236).

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

2006940 is a wasteful number, since it uses less digits than its factorization.

2006940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2006940 is about 1416.6650980383. The cubic root of 2006940 is about 126.1376676198.

It can be divided in two parts, 200 and 6940, that added together give a triangular number (7140 = T119).

The spelling of 2006940 in words is "two million, six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 83 93 124 130 155 156 166 186 195 249 260 310 332 372 390 403 415 465 498 620 780 806 830 930 996 1079 1209 1245 1612 1660 1860 2015 2158 2418 2490 2573 3237 4030 4316 4836 4980 5146 5395 6045 6474 7719 8060 10292 10790 12090 12865 12948 15438 16185 21580 24180 25730 30876 32370 33449 38595 51460 64740 66898 77190 100347 133796 154380 167245 200694 334490 401388 501735 668980 1003470 2006940