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30053960 = 23517193229
BaseRepresentation
bin111001010100…
…1011001001000
32002112220021122
41302221121020
530143211320
62552054412
7513311606
oct162513110
962486248
1030053960
1115a67a92
12a094408
1362c3711
143dc4876
152989d25
hex1ca9648

30053960 has 64 divisors (see below), whose sum is σ = 72284400. Its totient is φ = 11206656.

The previous prime is 30053929. The next prime is 30053963. The reversal of 30053960 is 6935003.

It can be written as a sum of positive squares in 8 ways, for example, as 20921476 + 9132484 = 4574^2 + 3022^2 .

It is not an unprimeable number, because it can be changed into a prime (30053963) 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 15 ways as a sum of consecutive naturals, for example, 131126 + ... + 131354.

Almost surely, 230053960 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 30053960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36142200).

30053960 is an abundant number, since it is smaller than the sum of its proper divisors (42230440).

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

30053960 is a wasteful number, since it uses less digits than its factorization.

30053960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 26.

The square root of 30053960 is about 5482.1492135840. The cubic root of 30053960 is about 310.9094348633.

Adding to 30053960 its reverse (6935003), we get a palindrome (36988963).

It can be divided in two parts, 30053 and 960, that added together give a palindrome (31013).

The spelling of 30053960 in words is "thirty million, fifty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 193 229 340 386 458 680 772 916 965 1145 1544 1832 1930 2290 3281 3860 3893 4580 6562 7720 7786 9160 13124 15572 16405 19465 26248 31144 32810 38930 44197 65620 77860 88394 131240 155720 176788 220985 353576 441970 751349 883940 1502698 1767880 3005396 3756745 6010792 7513490 15026980 30053960