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2066640 = 243579109
BaseRepresentation
bin111111000100011010000
310212222220020
413320203100
51012113030
6112143440
723365122
oct7704320
93788806
102066640
111191774
12837b80
13574884
143bb212
152ac510
hex1f88d0

2066640 has 80 divisors (see below), whose sum is σ = 6547200. Its totient is φ = 539136.

The previous prime is 2066609. The next prime is 2066641. The reversal of 2066640 is 466602.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2066640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18906 + ... + 19014.

It is an arithmetic number, because the mean of its divisors is an integer number (81840).

22066640 is an apocalyptic number.

2066640 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 2066640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273600).

2066640 is an abundant number, since it is smaller than the sum of its proper divisors (4480560).

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

2066640 is a wasteful number, since it uses less digits than its factorization.

2066640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2066640 is about 1437.5813020487. The cubic root of 2066640 is about 127.3761966262.

It can be divided in two parts, 20666 and 40, that added together give a triangular number (20706 = T203).

The spelling of 2066640 in words is "two million, sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 109 120 158 218 237 240 316 327 395 436 474 545 632 654 790 872 948 1090 1185 1264 1308 1580 1635 1744 1896 2180 2370 2616 3160 3270 3792 4360 4740 5232 6320 6540 8611 8720 9480 13080 17222 18960 25833 26160 34444 43055 51666 68888 86110 103332 129165 137776 172220 206664 258330 344440 413328 516660 688880 1033320 2066640