Search a number
-
+
206467730240 = 2651095919373
BaseRepresentation
bin1100000001001001101…
…1111000101101000000
3201201221002110102102212
43000102123320231000
511340321214331430
6234503332001252
720626314515252
oct3002233705500
9651832412385
10206467730240
117a620718702
1234021760228
1316615281ba5
149dc9085cd2
15558619db95
hex30126f8b40

206467730240 has 56 divisors (see below), whose sum is σ = 496161928680. Its totient is φ = 81829398528.

The previous prime is 206467730213. The next prime is 206467730279. The reversal of 206467730240 is 42037764602.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76804362496 + 129663367744 = 277136^2 + 360088^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2924807 + ... + 2994566.

Almost surely, 2206467730240 is an apocalyptic number.

206467730240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206467730240 is an abundant number, since it is smaller than the sum of its proper divisors (289694198440).

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

206467730240 is a wasteful number, since it uses less digits than its factorization.

206467730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919499 (or 5919489 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 41.

The spelling of 206467730240 in words is "two hundred six billion, four hundred sixty-seven million, seven hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 160 218 320 436 545 872 1090 1744 2180 3488 4360 6976 8720 17440 34880 5919373 11838746 23677492 29596865 47354984 59193730 94709968 118387460 189419936 236774920 378839872 473549840 645211657 947099680 1290423314 1894199360 2580846628 3226058285 5161693256 6452116570 10323386512 12904233140 20646773024 25808466280 41293546048 51616932560 103233865120 206467730240