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30820000 = 25542367
BaseRepresentation
bin111010110010…
…0011010100000
32010222211002111
41311210122200
530342220000
63020325104
7522652141
oct165443240
963884074
1030820000
1116440582
12a3a3794
1365012b3
144143ac8
152a8bcba
hex1d646a0

30820000 has 120 divisors (see below), whose sum is σ = 80299296. Its totient is φ = 11616000.

The previous prime is 30819991. The next prime is 30820003. The reversal of 30820000 is 2803.

It is not an unprimeable number, because it can be changed into a prime (30820003) 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 19 ways as a sum of consecutive naturals, for example, 459967 + ... + 460033.

Almost surely, 230820000 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 30820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40149648).

30820000 is an abundant number, since it is smaller than the sum of its proper divisors (49479296).

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

30820000 is an equidigital number, since it uses as much as digits as its factorization.

30820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 30820000 is about 5551.5763527128. The cubic root of 30820000 is about 313.5288754778.

Adding to 30820000 its reverse (2803), we get a palindrome (30822803).

The spelling of 30820000 in words is "thirty million, eight hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 67 80 92 100 115 125 134 160 184 200 230 250 268 335 368 400 460 500 536 575 625 670 736 800 920 1000 1072 1150 1250 1340 1541 1675 1840 2000 2144 2300 2500 2680 2875 3082 3350 3680 4000 4600 5000 5360 5750 6164 6700 7705 8375 9200 10000 10720 11500 12328 13400 14375 15410 16750 18400 20000 23000 24656 26800 28750 30820 33500 38525 41875 46000 49312 53600 57500 61640 67000 77050 83750 92000 115000 123280 134000 154100 167500 192625 230000 246560 268000 308200 335000 385250 460000 616400 670000 770500 963125 1232800 1340000 1541000 1926250 3082000 3852500 6164000 7705000 15410000 30820000