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30112680 = 23351397199
BaseRepresentation
bin111001011011…
…1101110101000
32002122212211110
41302313232220
530202101210
62553230320
7513645033
oct162675650
962585743
1030112680
1115aa8114
12a1023a0
136314370
143ddc01a
15299c420
hex1cb7ba8

30112680 has 128 divisors (see below), whose sum is σ = 98784000. Its totient is φ = 7299072.

The previous prime is 30112657. The next prime is 30112697. The reversal of 30112680 is 8621103.

30112680 is a nontrivial binomial coefficient, being equal to C(7761, 2).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151221 + ... + 151419.

It is an arithmetic number, because the mean of its divisors is an integer number (771750).

Almost surely, 230112680 is an apocalyptic number.

30112680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30112680 is the 7760-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30112680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49392000).

30112680 is an abundant number, since it is smaller than the sum of its proper divisors (68671320).

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

30112680 is a wasteful number, since it uses less digits than its factorization.

30112680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 30112680 is about 5487.5021640087. The cubic root of 30112680 is about 311.1117900590. Note that the first 3 decimals are identical.

Adding to 30112680 its reverse (8621103), we get a palindrome (38733783).

The spelling of 30112680 in words is "thirty million, one hundred twelve thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 97 104 120 130 156 194 195 199 260 291 312 388 390 398 485 520 582 597 776 780 796 970 995 1164 1194 1261 1455 1560 1592 1940 1990 2328 2388 2522 2587 2910 2985 3783 3880 3980 4776 5044 5174 5820 5970 6305 7566 7761 7960 10088 10348 11640 11940 12610 12935 15132 15522 18915 19303 20696 23880 25220 25870 30264 31044 37830 38606 38805 50440 51740 57909 62088 75660 77212 77610 96515 103480 115818 151320 154424 155220 193030 231636 250939 289545 310440 386060 463272 501878 579090 752817 772120 1003756 1158180 1254695 1505634 2007512 2316360 2509390 3011268 3764085 5018780 6022536 7528170 10037560 15056340 30112680