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23680080 = 2433519577
BaseRepresentation
bin101101001010…
…1010001010000
31122120001222000
41122111101100
522030230310
62203314000
7405164064
oct132252120
948501860
1023680080
1112404216
127b1b900
134ba14a8
143205aa4
15212b4c0
hex1695450

23680080 has 160 divisors (see below), whose sum is σ = 86006400. Its totient is φ = 5971968.

The previous prime is 23680051. The next prime is 23680091. The reversal of 23680080 is 8008632.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 40752 + ... + 41328.

It is an arithmetic number, because the mean of its divisors is an integer number (537540).

Almost surely, 223680080 is an apocalyptic number.

23680080 is a gapful number since it is divisible by the number (20) 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 23680080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43003200).

23680080 is an abundant number, since it is smaller than the sum of its proper divisors (62326320).

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

23680080 is a wasteful number, since it uses less digits than its factorization.

23680080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 23680080 is about 4866.2182441810. The cubic root of 23680080 is about 287.1624974632.

The spelling of 23680080 in words is "twenty-three million, six hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 577 684 720 760 855 912 1026 1080 1140 1154 1368 1520 1710 1731 2052 2160 2280 2308 2565 2736 2885 3420 3462 4104 4560 4616 5130 5193 5770 6840 6924 8208 8655 9232 10260 10386 10963 11540 13680 13848 15579 17310 20520 20772 21926 23080 25965 27696 31158 32889 34620 41040 41544 43852 46160 51930 54815 62316 65778 69240 77895 83088 87704 98667 103860 109630 124632 131556 138480 155790 164445 175408 197334 207720 219260 249264 263112 296001 311580 328890 394668 415440 438520 493335 526224 592002 623160 657780 789336 877040 986670 1184004 1246320 1315560 1480005 1578672 1973340 2368008 2631120 2960010 3946680 4736016 5920020 7893360 11840040 23680080