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4516680 = 2335719283
BaseRepresentation
bin10001001110101101001000
322111110201110
4101032231020
52124013210
6240450320
753251110
oct21165510
98443643
104516680
1126054a3
1216199a0
13c21abc
14858040
155e3420
hex44eb48

4516680 has 128 divisors (see below), whose sum is σ = 16358400. Its totient is φ = 974592.

The previous prime is 4516651. The next prime is 4516691. The reversal of 4516680 is 866154.

4516680 = T680 + T681 + ... + T698.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 15819 + ... + 16101.

It is an arithmetic number, because the mean of its divisors is an integer number (127800).

Almost surely, 24516680 is an apocalyptic number.

4516680 is a gapful number since it is divisible by the number (40) 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 4516680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8179200).

4516680 is an abundant number, since it is smaller than the sum of its proper divisors (11841720).

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

4516680 is a wasteful number, since it uses less digits than its factorization.

4516680 is an evil number, because the sum of its binary digits is even.

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

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4516680 is about 2125.2482207968. The cubic root of 4516680 is about 165.3000966546.

The spelling of 4516680 in words is "four million, five hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 283 285 380 399 420 456 532 566 570 665 760 798 840 849 1064 1132 1140 1330 1415 1596 1698 1981 1995 2264 2280 2660 2830 3192 3396 3962 3990 4245 5320 5377 5660 5943 6792 7924 7980 8490 9905 10754 11320 11886 15848 15960 16131 16980 19810 21508 23772 26885 29715 32262 33960 37639 39620 43016 47544 53770 59430 64524 75278 79240 80655 107540 112917 118860 129048 150556 161310 188195 215080 225834 237720 301112 322620 376390 451668 564585 645240 752780 903336 1129170 1505560 2258340 4516680