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30509920 = 255727241
BaseRepresentation
bin111010001100…
…0101101100000
32010102001202001
41310120231200
530302304140
63005533344
7520221130
oct164305540
963361661
1030509920
1116249611
12a274254
13642310c
1440a2ac0
152a29e9a
hex1d18b60

30509920 has 48 divisors (see below), whose sum is σ = 82379808. Its totient is φ = 10460160.

The previous prime is 30509893. The next prime is 30509923. The reversal of 30509920 is 2990503.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30509923) 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, 12501 + ... + 14740.

It is an arithmetic number, because the mean of its divisors is an integer number (1716246).

Almost surely, 230509920 is an apocalyptic number.

It is an amenable number.

30509920 is an abundant number, since it is smaller than the sum of its proper divisors (51869888).

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

30509920 is a wasteful number, since it uses less digits than its factorization.

30509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27263 (or 27255 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 30509920 is about 5523.5785501792. The cubic root of 30509920 is about 312.4738580798.

The spelling of 30509920 in words is "thirty million, five hundred nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 27241 54482 108964 136205 190687 217928 272410 381374 435856 544820 762748 871712 953435 1089640 1525496 1906870 2179280 3050992 3813740 4358560 6101984 7627480 15254960 30509920