Search a number
-
+
206445840 = 24357871093
BaseRepresentation
bin11000100111000…
…01110100010000
3112101110112110020
430103201310100
5410322231330
632252503440
75054521626
oct1423416420
9471415406
10206445840
11a65958a7
125917ab80
1333a03203
141d5bd516
15131ce210
hexc4e1d10

206445840 has 80 divisors (see below), whose sum is σ = 641381568. Its totient is φ = 54931968.

The previous prime is 206445839. The next prime is 206445851. The reversal of 206445840 is 48544602.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188334 + ... + 189426.

Almost surely, 2206445840 is an apocalyptic number.

206445840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206445840 is an abundant number, since it is smaller than the sum of its proper divisors (434935728).

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

206445840 is a wasteful number, since it uses less digits than its factorization.

206445840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 206445840 is about 14368.2232722073. The cubic root of 206445840 is about 591.0198200527.

The spelling of 206445840 in words is "two hundred six million, four hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 787 1093 1574 2186 2361 3148 3279 3935 4372 4722 5465 6296 6558 7870 8744 9444 10930 11805 12592 13116 15740 16395 17488 18888 21860 23610 26232 31480 32790 37776 43720 47220 52464 62960 65580 87440 94440 131160 188880 262320 860191 1720382 2580573 3440764 4300955 5161146 6881528 8601910 10322292 12902865 13763056 17203820 20644584 25805730 34407640 41289168 51611460 68815280 103222920 206445840