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30930120 = 23335132203
BaseRepresentation
bin111010111111…
…1010011001000
32011012102011000
41311333103020
530404230440
63022535000
7523621164
oct165772310
964172130
1030930120
1116506291
12a437460
13653c460
144171ca4
152aae730
hex1d7f4c8

30930120 has 128 divisors (see below), whose sum is σ = 111081600. Its totient is φ = 7610112.

The previous prime is 30930103. The next prime is 30930121. The reversal of 30930120 is 2103903.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30930093 and 30930102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30930121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12939 + ... + 15141.

It is an arithmetic number, because the mean of its divisors is an integer number (867825).

Almost surely, 230930120 is an apocalyptic number.

30930120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30930120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55540800).

30930120 is an abundant number, since it is smaller than the sum of its proper divisors (80151480).

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

30930120 is a wasteful number, since it uses less digits than its factorization.

30930120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 30930120 is about 5561.4854130888. The cubic root of 30930120 is about 313.9018449881.

The spelling of 30930120 in words is "thirty million, nine hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2203 2340 2808 3510 4406 4680 6609 7020 8812 11015 13218 14040 17624 19827 22030 26436 28639 33045 39654 44060 52872 57278 59481 66090 79308 85917 88120 99135 114556 118962 132180 143195 158616 171834 198270 229112 237924 257751 264360 286390 297405 343668 396540 429585 475848 515502 572780 594810 687336 773253 793080 859170 1031004 1145560 1189620 1288755 1546506 1718340 2062008 2379240 2577510 3093012 3436680 3866265 5155020 6186024 7732530 10310040 15465060 30930120