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206640 = 24325741
BaseRepresentation
bin110010011100110000
3101111110100
4302130300
523103030
64232400
71520310
oct623460
9344410
10206640
11131285
129b700
1373095
1455440
1541360
hex32730

206640 has 120 divisors (see below), whose sum is σ = 812448. Its totient is φ = 46080.

The previous prime is 206639. The next prime is 206641. The reversal of 206640 is 46602.

206640 = 502 + 512 + ... + 902.

206640 is a `hidden beast` number, since 2 + 0 + 664 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (206639) and next prime (206641).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 206640.

It is not an unprimeable number, because it can be changed into a prime (206641) 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, 5020 + ... + 5060.

2206640 is an apocalyptic number.

206640 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 206640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224).

206640 is an abundant number, since it is smaller than the sum of its proper divisors (605808).

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

206640 is a wasteful number, since it uses less digits than its factorization.

206640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 206640 is about 454.5767261970. The cubic root of 206640 is about 59.1205044504.

The spelling of 206640 in words is "two hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 41 42 45 48 56 60 63 70 72 80 82 84 90 105 112 120 123 126 140 144 164 168 180 205 210 240 246 252 280 287 315 328 336 360 369 410 420 492 504 560 574 615 630 656 720 738 820 840 861 984 1008 1148 1230 1260 1435 1476 1640 1680 1722 1845 1968 2296 2460 2520 2583 2870 2952 3280 3444 3690 4305 4592 4920 5040 5166 5740 5904 6888 7380 8610 9840 10332 11480 12915 13776 14760 17220 20664 22960 25830 29520 34440 41328 51660 68880 103320 206640