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16300680 = 23351153233
BaseRepresentation
bin111110001011…
…101010001000
31010200011022220
4332023222020
513133110210
61341214040
7255360564
oct76135210
933604286
1016300680
119223a40
125561320
1334b9696
1422446a4
15166ec70
hexf8ba88

16300680 has 128 divisors (see below), whose sum is σ = 54587520. Its totient is φ = 3860480.

The previous prime is 16300667. The next prime is 16300717. The reversal of 16300680 is 8600361.

16300680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16300680.

It is a congruent number.

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, 69844 + ... + 70076.

It is an arithmetic number, because the mean of its divisors is an integer number (426465).

Almost surely, 216300680 is an apocalyptic number.

16300680 is a gapful number since it is divisible by the number (10) 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 16300680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27293760).

16300680 is an abundant number, since it is smaller than the sum of its proper divisors (38286840).

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

16300680 is a wasteful number, since it uses less digits than its factorization.

16300680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 16300680 is about 4037.4100609178. The cubic root of 16300680 is about 253.5528952174.

16300680 divided by its sum of digits (24) gives a triangular number (679195 = T1165).

The spelling of 16300680 in words is "sixteen million, three hundred thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 53 55 60 66 88 106 110 120 132 159 165 212 220 233 264 265 318 330 424 440 466 530 583 636 660 699 795 932 1060 1165 1166 1272 1320 1398 1590 1749 1864 2120 2330 2332 2563 2796 2915 3180 3495 3498 4660 4664 5126 5592 5830 6360 6990 6996 7689 8745 9320 10252 11660 12349 12815 13980 13992 15378 17490 20504 23320 24698 25630 27960 30756 34980 37047 38445 49396 51260 61512 61745 69960 74094 76890 98792 102520 123490 135839 148188 153780 185235 246980 271678 296376 307560 370470 407517 493960 543356 679195 740940 815034 1086712 1358390 1481880 1630068 2037585 2716780 3260136 4075170 5433560 8150340 16300680