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30000080 = 2451173467
BaseRepresentation
bin111001001110…
…0001111010000
32002110011101002
41302130033100
530140000310
62551001132
7512665535
oct162341720
962404332
1030000080
1115a30560
12a0691a8
1362a5036
143dacd8c
152978da5
hex1c9c3d0

30000080 has 80 divisors (see below), whose sum is σ = 77298624. Its totient is φ = 10736640.

The previous prime is 30000079. The next prime is 30000083. The reversal of 30000080 is 8000003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30000083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64007 + ... + 64473.

Almost surely, 230000080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38649312).

30000080 is an abundant number, since it is smaller than the sum of its proper divisors (47298544).

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

30000080 is a wasteful number, since it uses less digits than its factorization.

30000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 30000080 is about 5477.2328780142. The cubic root of 30000080 is about 310.7235267936.

30000080 divided by its sum of digits (11) gives a triangular number (2727280 = T2335).

Adding to 30000080 its reverse (8000003), we get a palindrome (38000083).

The spelling of 30000080 in words is "thirty million, eighty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 146 176 220 292 365 440 467 584 730 803 880 934 1168 1460 1606 1868 2335 2920 3212 3736 4015 4670 5137 5840 6424 7472 8030 9340 10274 12848 16060 18680 20548 25685 32120 34091 37360 41096 51370 64240 68182 82192 102740 136364 170455 205480 272728 340910 375001 410960 545456 681820 750002 1363640 1500004 1875005 2727280 3000008 3750010 6000016 7500020 15000040 30000080