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3000012480 = 263251041671
BaseRepresentation
bin1011001011010000…
…1000111011000000
321202002001102110100
42302310020323000
522121000344410
61213404402400
7134225454033
oct26264107300
97662042410
103000012480
1112aa479863
126b8846400
1338a6ba11a
1420660b01a
151285978c0
hexb2d08ec0

3000012480 has 84 divisors (see below), whose sum is σ = 10318802832. Its totient is φ = 800002560.

The previous prime is 3000012473. The next prime is 3000012493. The reversal of 3000012480 is 842100003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517956 + ... + 523715.

Almost surely, 23000012480 is an apocalyptic number.

3000012480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3000012480 is an abundant number, since it is smaller than the sum of its proper divisors (7318790352).

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

3000012480 is a wasteful number, since it uses less digits than its factorization.

3000012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041694 (or 1041681 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3000012480 is about 54772.3696766901. The cubic root of 3000012480 is about 1442.2515702240.

Adding to 3000012480 its reverse (842100003), we get a palindrome (3842112483).

The spelling of 3000012480 in words is "three billion, twelve 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 1041671 2083342 3125013 4166684 5208355 6250026 8333368 9375039 10416710 12500052 15625065 16666736 18750078 20833420 25000104 31250130 33333472 37500156 41666840 46875195 50000208 62500260 66666944 75000312 83333680 93750390 100000416 125000520 150000624 166667360 187500780 200000832 250001040 300001248 333334720 375001560 500002080 600002496 750003120 1000004160 1500006240 3000012480