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206485440 = 2635730727
BaseRepresentation
bin11000100111010…
…11011111000000
3112101112112202220
430103223133000
5410330013230
632253411040
75055045240
oct1423533700
9471475686
10206485440
11a6612627
1259199a80
1333a18245
141d5cdb20
15131dad10
hexc4eb7c0

206485440 has 112 divisors (see below), whose sum is σ = 749271552. Its totient is φ = 47195136.

The previous prime is 206485399. The next prime is 206485457. The reversal of 206485440 is 44584602.

206485440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8644 + ... + 22083.

Almost surely, 2206485440 is an apocalyptic number.

206485440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206485440 is an abundant number, since it is smaller than the sum of its proper divisors (542786112).

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

206485440 is a wasteful number, since it uses less digits than its factorization.

206485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30754 (or 30744 counting only the distinct ones).

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

The square root of 206485440 is about 14369.6012470771. The cubic root of 206485440 is about 591.0576070232.

The spelling of 206485440 in words is "two hundred six million, four hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 30727 61454 92181 122908 153635 184362 215089 245816 307270 368724 430178 460905 491632 614540 645267 737448 860356 921810 983264 1075445 1229080 1290534 1474896 1720712 1843620 1966528 2150890 2458160 2581068 2949792 3226335 3441424 3687240 4301780 4916320 5162136 5899584 6452670 6882848 7374480 8603560 9832640 10324272 12905340 13765696 14748960 17207120 20648544 25810680 29497920 34414240 41297088 51621360 68828480 103242720 206485440