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30070620 = 223251731317
BaseRepresentation
bin111001010110…
…1011101011100
32002120202010200
41302231131130
530144224440
62552303500
7513411306
oct162553534
962522120
1030070620
1115a79558
12a0a1b90
1362cb188
143dca976
15298ec30
hex1cad75c

30070620 has 144 divisors (see below), whose sum is σ = 100009728. Its totient is φ = 7280640.

The previous prime is 30070613. The next prime is 30070627. The reversal of 30070620 is 2607003.

It is an interprime number because it is at equal distance from previous prime (30070613) and next prime (30070627).

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 = 30070593 and 30070602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30070627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94702 + ... + 95018.

It is an arithmetic number, because the mean of its divisors is an integer number (694512).

Almost surely, 230070620 is an apocalyptic number.

30070620 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 30070620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50004864).

30070620 is an abundant number, since it is smaller than the sum of its proper divisors (69939108).

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

30070620 is a wasteful number, since it uses less digits than its factorization.

30070620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 30070620 is about 5483.6684801326. The cubic root of 30070620 is about 310.9668737096.

Adding to 30070620 its reverse (2607003), we get a palindrome (32677623).

The spelling of 30070620 in words is "thirty million, seventy thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 31 34 36 45 51 60 62 68 85 90 93 102 124 153 155 170 180 186 204 255 279 306 310 317 340 372 465 510 527 558 612 620 634 765 930 951 1020 1054 1116 1268 1395 1530 1581 1585 1860 1902 2108 2635 2790 2853 3060 3162 3170 3804 4743 4755 5270 5389 5580 5706 6324 6340 7905 9486 9510 9827 10540 10778 11412 14265 15810 16167 18972 19020 19654 21556 23715 26945 28530 29481 31620 32334 39308 47430 48501 49135 53890 57060 58962 64668 80835 88443 94860 97002 98270 107780 117924 147405 161670 167059 176886 194004 196540 242505 294810 323340 334118 353772 442215 485010 501177 589620 668236 835295 884430 970020 1002354 1503531 1670590 1768860 2004708 2505885 3007062 3341180 5011770 6014124 7517655 10023540 15035310 30070620