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30059320 = 2354759271
BaseRepresentation
bin111001010101…
…0101100111000
32002120011122011
41302222230320
530143344240
62552135304
7513333334
oct162525470
962504564
1030059320
1115a71015
12a097534
1362c5ca5
143dc67c4
15298b6ea
hex1caab38

30059320 has 64 divisors (see below), whose sum is σ = 70502400. Its totient is φ = 11525760.

The previous prime is 30059299. The next prime is 30059329. The reversal of 30059320 is 2395003.

It is a junction number, because it is equal to n+sod(n) for n = 30059291 and 30059300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30059329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 110785 + ... + 111055.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 230059320 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 30059320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35251200).

30059320 is an abundant number, since it is smaller than the sum of its proper divisors (40443080).

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

30059320 is a wasteful number, since it uses less digits than its factorization.

30059320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 30059320 is about 5482.6380511575. The cubic root of 30059320 is about 310.9279169037.

The spelling of 30059320 in words is "thirty million, fifty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 59 94 118 188 235 236 271 295 376 470 472 542 590 940 1084 1180 1355 1880 2168 2360 2710 2773 5420 5546 10840 11092 12737 13865 15989 22184 25474 27730 31978 50948 55460 63685 63956 79945 101896 110920 127370 127912 159890 254740 319780 509480 639560 751483 1502966 3005932 3757415 6011864 7514830 15029660 30059320