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30064000 = 27531879
BaseRepresentation
bin111001010101…
…1110110000000
32002120102001111
41302223312000
530144022000
62552213104
7513353101
oct162536600
962512044
1030064000
1115a7458a
12a09a194
1362c8165
143dc83a8
15298ccba
hex1cabd80

30064000 has 64 divisors (see below), whose sum is σ = 74786400. Its totient is φ = 12019200.

The previous prime is 30063997. The next prime is 30064019. The reversal of 30064000 is 46003.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15061 + ... + 16939.

Almost surely, 230064000 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 30064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37393200).

30064000 is an abundant number, since it is smaller than the sum of its proper divisors (44722400).

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

30064000 is an equidigital number, since it uses as much as digits as its factorization.

30064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 30064000 is about 5483.0648363848. The cubic root of 30064000 is about 310.9440524111.

The spelling of 30064000 in words is "thirty million, sixty-four thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 1879 2000 3200 3758 4000 7516 8000 9395 15032 16000 18790 30064 37580 46975 60128 75160 93950 120256 150320 187900 234875 240512 300640 375800 469750 601280 751600 939500 1202560 1503200 1879000 3006400 3758000 6012800 7516000 15032000 30064000