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30053680 = 245477993
BaseRepresentation
bin111001010100…
…1010100110000
32002112212220021
41302221110300
530143204210
62552053224
7513311026
oct162512460
962485807
1030053680
1115a67858
12a094214
1362c3557
143dc4716
152989bda
hex1ca9530

30053680 has 40 divisors (see below), whose sum is σ = 71370432. Its totient is φ = 11764224.

The previous prime is 30053623. The next prime is 30053693. The reversal of 30053680 is 8635003.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 237 + ... + 7756.

Almost surely, 230053680 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 30053680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35685216).

30053680 is an abundant number, since it is smaller than the sum of its proper divisors (41316752).

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

30053680 is a wasteful number, since it uses less digits than its factorization.

30053680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8053 (or 8047 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 30053680 is about 5482.1236760949. The cubic root of 30053680 is about 310.9084693232.

Adding to 30053680 its reverse (8635003), we get a palindrome (38688683).

The spelling of 30053680 in words is "thirty million, fifty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 7993 15986 31972 39965 63944 79930 127888 159860 319720 375671 639440 751342 1502684 1878355 3005368 3756710 6010736 7513420 15026840 30053680