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206711424 = 2732179437
BaseRepresentation
bin11000101001000…
…10101010000000
3112101222000202200
430110202222000
5410404231144
632302313200
75060006133
oct1424425200
9471860680
10206711424
11a6757397
1259288800
1333a9706a
141d64c21a
1513232c69
hexc522a80

206711424 has 48 divisors (see below), whose sum is σ = 594836970. Its totient is φ = 68903424.

The previous prime is 206711413. The next prime is 206711429. The reversal of 206711424 is 424117602.

It can be written as a sum of positive squares in only one way, i.e., 202549824 + 4161600 = 14232^2 + 2040^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2067114242 = 85459225624215552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (206711429) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88567 + ... + 90870.

Almost surely, 2206711424 is an apocalyptic number.

206711424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

206711424 is an abundant number, since it is smaller than the sum of its proper divisors (388125546).

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

206711424 is a wasteful number, since it uses less digits than its factorization.

206711424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179457 (or 179442 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 206711424 is about 14377.4623630180. The cubic root of 206711424 is about 591.2731522683.

The spelling of 206711424 in words is "two hundred six million, seven hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 179437 358874 538311 717748 1076622 1435496 1614933 2153244 2870992 3229866 4306488 5741984 6459732 8612976 11483968 12919464 17225952 22967936 25838928 34451904 51677856 68903808 103355712 206711424