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4666680 = 2333529149
BaseRepresentation
bin10001110011010100111000
322210002111000
4101303110320
52143313210
6244005000
754444324
oct21632470
98702430
104666680
1126a8167
121690760
13c75165
14896984
15622ac0
hex473538

4666680 has 128 divisors (see below), whose sum is σ = 16200000. Its totient is φ = 1193472.

The previous prime is 4666679. The next prime is 4666681. The reversal of 4666680 is 866664.

It is an interprime number because it is at equal distance from previous prime (4666679) and next prime (4666681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4666681) 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 31 ways as a sum of consecutive naturals, for example, 31246 + ... + 31394.

Almost surely, 24666680 is an apocalyptic number.

4666680 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 4666680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8100000).

4666680 is an abundant number, since it is smaller than the sum of its proper divisors (11533320).

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

4666680 is a wasteful number, since it uses less digits than its factorization.

4666680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4666680 is about 2160.2499855341. The cubic root of 4666680 is about 167.1100903176.

The spelling of 4666680 in words is "four million, six hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 149 174 180 216 232 261 270 290 298 348 360 435 447 522 540 580 596 696 745 783 870 894 1044 1080 1160 1192 1305 1341 1490 1566 1740 1788 2088 2235 2610 2682 2980 3132 3480 3576 3915 4023 4321 4470 5220 5364 5960 6264 6705 7830 8046 8642 8940 10440 10728 12963 13410 15660 16092 17284 17880 20115 21605 25926 26820 31320 32184 34568 38889 40230 43210 51852 53640 64815 77778 80460 86420 103704 116667 129630 155556 160920 172840 194445 233334 259260 311112 388890 466668 518520 583335 777780 933336 1166670 1555560 2333340 4666680