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206764140 = 223511378467
BaseRepresentation
bin11000101001011…
…11100001101100
3112102001201002010
430110233201230
5410412423030
632303401220
75060315622
oct1424574154
9472051063
10206764140
11a6792a60
12592b3210
1333ab505b
141d663512
15132436b0
hexc52f86c

206764140 has 96 divisors (see below), whose sum is σ = 648716544. Its totient is φ = 48764160.

The previous prime is 206764127. The next prime is 206764147. The reversal of 206764140 is 41467602.

206764140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 206764098 and 206764107.

It is not an unprimeable number, because it can be changed into a prime (206764147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20187 + ... + 28653.

It is an arithmetic number, because the mean of its divisors is an integer number (6757464).

Almost surely, 2206764140 is an apocalyptic number.

206764140 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 206764140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324358272).

206764140 is an abundant number, since it is smaller than the sum of its proper divisors (441952404).

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

206764140 is a wasteful number, since it uses less digits than its factorization.

206764140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8527 (or 8525 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 206764140 is about 14379.2955321184. The cubic root of 206764140 is about 591.3234105875.

The spelling of 206764140 in words is "two hundred six million, seven hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 8467 12210 16934 24420 25401 33868 42335 50802 84670 93137 101604 127005 169340 186274 254010 279411 313279 372548 465685 508020 558822 626558 931370 939837 1117644 1253116 1397055 1566395 1862740 1879674 2794110 3132790 3446069 3759348 4699185 5588220 6265580 6892138 9398370 10338207 13784276 17230345 18796740 20676414 34460690 41352828 51691035 68921380 103382070 206764140