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206063730 = 23353720627
BaseRepresentation
bin11000100100001…
…00100001110010
3112100202010022000
430102010201302
5410223014410
632240354430
75051340615
oct1422044162
9470663260
10206063730
11a6354804
1259015a16
13338cb302
141d52017c
1513155dc0
hexc484872

206063730 has 64 divisors (see below), whose sum is σ = 564382080. Its totient is φ = 53462592.

The previous prime is 206063729. The next prime is 206063731. The reversal of 206063730 is 37360602.

206063730 is a `hidden beast` number, since 20 + 6 + 0 + 637 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (206063729) and next prime (206063731).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 206063694 and 206063703.

It is not an unprimeable number, because it can be changed into a prime (206063731) 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, 324 + ... + 20303.

It is an arithmetic number, because the mean of its divisors is an integer number (8818470).

Almost surely, 2206063730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206063730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282191040).

206063730 is an abundant number, since it is smaller than the sum of its proper divisors (358318350).

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

206063730 is a wasteful number, since it uses less digits than its factorization.

206063730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20680 (or 20674 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 206063730 is about 14354.9200624734. The cubic root of 206063730 is about 590.6549559006.

It can be divided in two parts, 20606 and 3730, that added together give a square (24336 = 1562).

The spelling of 206063730 in words is "two hundred six million, sixty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 9990 20627 41254 61881 103135 123762 185643 206270 309405 371286 556929 618810 763199 928215 1113858 1526398 1856430 2289597 2784645 3815995 4579194 5569290 6868791 7631990 11447985 13737582 20606373 22895970 34343955 41212746 68687910 103031865 206063730