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30065024 = 2711131163
BaseRepresentation
bin111001010110…
…0000110000000
32002120110110102
41302230012000
530144040044
62552221532
7513356063
oct162540600
962513412
1030065024
1115a75330
12a09a8a8
1362c8772
143dc88da
15298d24e
hex1cac180

30065024 has 64 divisors (see below), whose sum is σ = 66242880. Its totient is φ = 13478400.

The previous prime is 30065003. The next prime is 30065039. The reversal of 30065024 is 42056003.

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

It is a junction number, because it is equal to n+sod(n) for n = 30064987 and 30065005.

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, 184367 + ... + 184529.

It is an arithmetic number, because the mean of its divisors is an integer number (1035045).

Almost surely, 230065024 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 30065024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33121440).

30065024 is an abundant number, since it is smaller than the sum of its proper divisors (36177856).

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

30065024 is a wasteful number, since it uses less digits than its factorization.

30065024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 30065024 is about 5483.1582140223. The cubic root of 30065024 is about 310.9475826920.

The spelling of 30065024 in words is "thirty million, sixty-five thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 131 163 176 262 326 352 524 652 704 1048 1304 1408 1441 1793 2096 2608 2882 3586 4192 5216 5764 7172 8384 10432 11528 14344 16768 20864 21353 23056 28688 42706 46112 57376 85412 92224 114752 170824 184448 229504 234883 341648 469766 683296 939532 1366592 1879064 2733184 3758128 7516256 15032512 30065024