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30753680 = 2451722613
BaseRepresentation
bin111010101010…
…0001110010000
32010212110010012
41311110032100
530333104210
63015054052
7522254606
oct165241620
963773105
1030753680
11163a5771
12a371328
1364aa059
144127876
152a77305
hex1d54390

30753680 has 40 divisors (see below), whose sum is σ = 75711672. Its totient is φ = 11577344.

The previous prime is 30753677. The next prime is 30753689. The reversal of 30753680 is 8635703.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5513104 + 25240576 = 2348^2 + 5024^2 .

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

It is not an unprimeable number, because it can be changed into a prime (30753689) 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 7 ways as a sum of consecutive naturals, for example, 9947 + ... + 12666.

Almost surely, 230753680 is an apocalyptic number.

It is an amenable number.

30753680 is an abundant number, since it is smaller than the sum of its proper divisors (44957992).

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

30753680 is a wasteful number, since it uses less digits than its factorization.

30753680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22643 (or 22637 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 30753680 is about 5545.6000577034. The cubic root of 30753680 is about 313.3038249964.

The spelling of 30753680 in words is "thirty million, seven hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 22613 45226 90452 113065 180904 226130 361808 384421 452260 768842 904520 1537684 1809040 1922105 3075368 3844210 6150736 7688420 15376840 30753680