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2041680 = 243547181
BaseRepresentation
bin111110010011101010000
310211201122210
413302131100
51010313210
6111432120
723232264
oct7623520
93751583
102041680
111174a43
12825640
135663c4
143b20a4
152a4e20
hex1f2750

2041680 has 80 divisors (see below), whose sum is σ = 6499584. Its totient is φ = 529920.

The previous prime is 2041661. The next prime is 2041681. The reversal of 2041680 is 861402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041681) 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 15 ways as a sum of consecutive naturals, for example, 11190 + ... + 11370.

22041680 is an apocalyptic number.

2041680 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 2041680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792).

2041680 is an abundant number, since it is smaller than the sum of its proper divisors (4457904).

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

2041680 is a wasteful number, since it uses less digits than its factorization.

2041680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2041680 is about 1428.8736823107. The cubic root of 2041680 is about 126.8613196765.

The spelling of 2041680 in words is "two million, forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 181 188 235 240 282 362 376 470 543 564 705 724 752 905 940 1086 1128 1410 1448 1810 1880 2172 2256 2715 2820 2896 3620 3760 4344 5430 5640 7240 8507 8688 10860 11280 14480 17014 21720 25521 34028 42535 43440 51042 68056 85070 102084 127605 136112 170140 204168 255210 340280 408336 510420 680560 1020840 2041680