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206040440 = 23523281797
BaseRepresentation
bin11000100011111…
…10110101111000
3112100200221100102
430101332311320
5410221243230
632240054532
75051212664
oct1421766570
9470627312
10206040440
11a6339261
1259004448
13338c0828
141d5158a4
151314e045
hexc47ed78

206040440 has 64 divisors (see below), whose sum is σ = 486077760. Its totient is φ = 78453760.

The previous prime is 206040379. The next prime is 206040451. The reversal of 206040440 is 44040602.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258122 + ... + 258918.

It is an arithmetic number, because the mean of its divisors is an integer number (7594965).

Almost surely, 2206040440 is an apocalyptic number.

206040440 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 206040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243038880).

206040440 is an abundant number, since it is smaller than the sum of its proper divisors (280037320).

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

206040440 is a wasteful number, since it uses less digits than its factorization.

206040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 206040440 is about 14354.1088194287. The cubic root of 206040440 is about 590.6327024741.

The spelling of 206040440 in words is "two hundred six million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 281 460 562 797 920 1124 1405 1594 2248 2810 3188 3985 5620 6376 6463 7970 11240 12926 15940 18331 25852 31880 32315 36662 51704 64630 73324 91655 129260 146648 183310 223957 258520 366620 447914 733240 895828 1119785 1791656 2239570 4479140 5151011 8958280 10302022 20604044 25755055 41208088 51510110 103020220 206040440