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30197920 = 255375101
BaseRepresentation
bin111001100110…
…0100010100000
32002211012202111
41303030202200
530212313140
62555125104
7514451404
oct163144240
962735674
1030197920
1116056165
12a143794
1363440bc
144021104
1529b77ea
hex1ccc8a0

30197920 has 48 divisors (see below), whose sum is σ = 73285128. Its totient is φ = 11750400.

The previous prime is 30197917. The next prime is 30197929. The reversal of 30197920 is 2979103.

It can be written as a sum of positive squares in 4 ways, for example, as 20034576 + 10163344 = 4476^2 + 3188^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30197929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3370 + ... + 8470.

Almost surely, 230197920 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 30197920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36642564).

30197920 is an abundant number, since it is smaller than the sum of its proper divisors (43087208).

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

30197920 is a wasteful number, since it uses less digits than its factorization.

30197920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 30197920 is about 5495.2634149784. The cubic root of 30197920 is about 311.4050683463.

The spelling of 30197920 in words is "thirty million, one hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5101 5920 10202 20404 25505 40808 51010 81616 102020 163232 188737 204040 377474 408080 754948 816160 943685 1509896 1887370 3019792 3774740 6039584 7549480 15098960 30197920