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207996480 = 2632572221
BaseRepresentation
bin11000110010111…
…00011001000000
3112111101022112100
430121130121000
5411221341410
632350030400
75103640506
oct1431343100
9474338470
10207996480
11a745491a
12597a8400
1334126c53
141d8a4676
15133d88c0
hexc65c640

207996480 has 84 divisors (see below), whose sum is σ = 715431132. Its totient is φ = 55464960.

The previous prime is 207996463. The next prime is 207996487. The reversal of 207996480 is 84699702.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 59351616 + 148644864 = 7704^2 + 12192^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (207996487) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 33231 + ... + 38990.

Almost surely, 2207996480 is an apocalyptic number.

207996480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

207996480 is an abundant number, since it is smaller than the sum of its proper divisors (507434652).

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

207996480 is a wasteful number, since it uses less digits than its factorization.

207996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72244 (or 72231 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 207996480 is about 14422.0830672965. The cubic root of 207996480 is about 592.4958713594.

The spelling of 207996480 in words is "two hundred seven million, nine hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 72221 144442 216663 288884 361105 433326 577768 649989 722210 866652 1083315 1155536 1299978 1444420 1733304 2166630 2311072 2599956 2888840 3249945 3466608 4333260 4622144 5199912 5777680 6499890 6933216 8666520 10399824 11555360 12999780 13866432 17333040 20799648 23110720 25999560 34666080 41599296 51999120 69332160 103998240 207996480