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667689480 = 23345206077
BaseRepresentation
bin100111110011000…
…010001000001000
31201112101010210000
4213303002020020
52331412030410
6150130523000
722355160363
oct4763021010
91645333700
10667689480
11312990a97
12167736460
13a8438843
14649670da
153d93ddc0
hex27cc2208

667689480 has 80 divisors (see below), whose sum is σ = 2244189420. Its totient is φ = 178049664.

The previous prime is 667689427. The next prime is 667689553. The reversal of 667689480 is 84986766.

It can be written as a sum of positive squares in 2 ways, for example, as 635947524 + 31741956 = 25218^2 + 5634^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 99799 + ... + 106278.

Almost surely, 2667689480 is an apocalyptic number.

667689480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

667689480 is an abundant number, since it is smaller than the sum of its proper divisors (1576499940).

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

667689480 is a wasteful number, since it uses less digits than its factorization.

667689480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206100 (or 206087 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 667689480 is about 25839.6880786127. The cubic root of 667689480 is about 874.0269913310.

The spelling of 667689480 in words is "six hundred sixty-seven million, six hundred eighty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 206077 412154 618231 824308 1030385 1236462 1648616 1854693 2060770 2472924 3091155 3709386 4121540 4945848 5564079 6182310 7418772 8243080 9273465 11128158 12364620 14837544 16692237 18546930 22256316 24729240 27820395 33384474 37093860 44512632 55640790 66768948 74187720 83461185 111281580 133537896 166922370 222563160 333844740 667689480