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30574180 = 225713107157
BaseRepresentation
bin111010010100…
…0011001100100
32010112022220001
41310220121210
530311333210
63011151044
7520606360
oct164503144
963468801
1030574180
111629291a
12a2a5484
136446440
1440bc2a0
152a3e03a
hex1d28664

30574180 has 96 divisors (see below), whose sum is σ = 80269056. Its totient is φ = 9524736.

The previous prime is 30574171. The next prime is 30574183. The reversal of 30574180 is 8147503.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (30574183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194662 + ... + 194818.

It is an arithmetic number, because the mean of its divisors is an integer number (836136).

Almost surely, 230574180 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 30574180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40134528).

30574180 is an abundant number, since it is smaller than the sum of its proper divisors (49694876).

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

30574180 is a wasteful number, since it uses less digits than its factorization.

30574180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 30574180 is about 5529.3923716806. The cubic root of 30574180 is about 312.6930817443.

The spelling of 30574180 in words is "thirty million, five hundred seventy-four thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 107 130 140 157 182 214 260 314 364 428 455 535 628 749 785 910 1070 1099 1391 1498 1570 1820 2041 2140 2198 2782 2996 3140 3745 4082 4396 5495 5564 6955 7490 8164 9737 10205 10990 13910 14287 14980 16799 19474 20410 21980 27820 28574 33598 38948 40820 48685 57148 67196 71435 83995 97370 117593 142870 167990 194740 218387 235186 285740 335980 436774 470372 587965 873548 1091935 1175930 1528709 2183870 2351860 3057418 4367740 6114836 7643545 15287090 30574180