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69000480 = 2532547917
BaseRepresentation
bin1000001110011…
…01110100100000
311210211120212100
410013031310200
5120131003410
610502530400
71465331403
oct407156440
9153746770
1069000480
1135a4909a
121b136a00
13113ab8b3
149241d3a
1560ce8c0
hex41cdd20

69000480 has 72 divisors (see below), whose sum is σ = 235469052. Its totient is φ = 18399744.

The previous prime is 69000479. The next prime is 69000493. The reversal of 69000480 is 8400096.

It can be written as a sum of positive squares in 2 ways, for example, as 63297936 + 5702544 = 7956^2 + 2388^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×690004802 = 9522132480460800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 22519 + ... + 25398.

Almost surely, 269000480 is an apocalyptic number.

69000480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

69000480 is an abundant number, since it is smaller than the sum of its proper divisors (166468572).

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

69000480 is a wasteful number, since it uses less digits than its factorization.

69000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47938 (or 47927 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 69000480 is about 8306.6527554726. The cubic root of 69000480 is about 410.1575440558.

The spelling of 69000480 in words is "sixty-nine million, four hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 47917 95834 143751 191668 239585 287502 383336 431253 479170 575004 718755 766672 862506 958340 1150008 1437510 1533344 1725012 1916680 2156265 2300016 2875020 3450024 3833360 4312530 4600032 5750040 6900048 7666720 8625060 11500080 13800096 17250120 23000160 34500240 69000480