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30145860 = 22325373449
BaseRepresentation
bin111001011111…
…1110101000100
32002201120100100
41302333311010
530204131420
62554044100
7514143543
oct162776504
962646310
1030145860
1116020038
12a119630
1363264b4
14400a15a
1529a7190
hex1cbfd44

30145860 has 72 divisors (see below), whose sum is σ = 91891800. Its totient is φ = 7999488.

The previous prime is 30145831. The next prime is 30145883. The reversal of 30145860 is 6854103.

It can be written as a sum of positive squares in 4 ways, for example, as 4562496 + 25583364 = 2136^2 + 5058^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66916 + ... + 67364.

It is an arithmetic number, because the mean of its divisors is an integer number (1276275).

Almost surely, 230145860 is an apocalyptic number.

30145860 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30145860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45945900).

30145860 is an abundant number, since it is smaller than the sum of its proper divisors (61745940).

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

30145860 is a wasteful number, since it uses less digits than its factorization.

30145860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 30145860 is about 5490.5245651030. The cubic root of 30145860 is about 311.2260154741.

Adding to 30145860 its reverse (6854103), we get a palindrome (36999963).

The spelling of 30145860 in words is "thirty million, one hundred forty-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 373 449 746 898 1119 1347 1492 1796 1865 2238 2245 2694 3357 3730 4041 4476 4490 5388 5595 6714 6735 7460 8082 8980 11190 13428 13470 16164 16785 20205 22380 26940 33570 40410 67140 80820 167477 334954 502431 669908 837385 1004862 1507293 1674770 2009724 2512155 3014586 3349540 5024310 6029172 7536465 10048620 15072930 30145860