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30752720 = 245537253
BaseRepresentation
bin111010101001…
…1111111010000
32010212101210122
41311103333100
530333041340
63015045412
7522252035
oct165237720
963771718
1030752720
11163a4a79
12a370868
1364a979b
14412738c
152a76db5
hex1d53fd0

30752720 has 40 divisors (see below), whose sum is σ = 72859176. Its totient is φ = 12067328.

The previous prime is 30752717. The next prime is 30752753. The reversal of 30752720 is 2725703.

It can be written as a sum of positive squares in 4 ways, for example, as 8549776 + 22202944 = 2924^2 + 4712^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 30752720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 614 + ... + 7866.

Almost surely, 230752720 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 30752720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36429588).

30752720 is an abundant number, since it is smaller than the sum of its proper divisors (42106456).

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

30752720 is a wasteful number, since it uses less digits than its factorization.

30752720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7319 (or 7313 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 26.

The square root of 30752720 is about 5545.5135019221. The cubic root of 30752720 is about 313.3005649551.

The spelling of 30752720 in words is "thirty million, seven hundred fifty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 7253 14506 29012 36265 58024 72530 116048 145060 290120 384409 580240 768818 1537636 1922045 3075272 3844090 6150544 7688180 15376360 30752720