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23860080 = 24325311069
BaseRepresentation
bin101101100000…
…1001101110000
31122220012212200
41123001031300
522102010310
62211223200
7406543626
oct133011560
948805780
1023860080
1112517482
127ba7b00
134c353ba
143251516
1521649c0
hex16c1370

23860080 has 120 divisors (see below), whose sum is σ = 82792320. Its totient is φ = 6151680.

The previous prime is 23860051. The next prime is 23860121. The reversal of 23860080 is 8006832.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21786 + ... + 22854.

It is an arithmetic number, because the mean of its divisors is an integer number (689936).

Almost surely, 223860080 is an apocalyptic number.

23860080 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 23860080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41396160).

23860080 is an abundant number, since it is smaller than the sum of its proper divisors (58932240).

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

23860080 is a wasteful number, since it uses less digits than its factorization.

23860080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1110 counting only the distinct ones).

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

The square root of 23860080 is about 4884.6780856061. The cubic root of 23860080 is about 287.8882668425. Note that the first 3 decimals are identical.

The spelling of 23860080 in words is "twenty-three million, eight hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1069 1116 1240 1395 1488 1860 2138 2232 2480 2790 3207 3720 4276 4464 5345 5580 6414 7440 8552 9621 10690 11160 12828 16035 17104 19242 21380 22320 25656 32070 33139 38484 42760 48105 51312 64140 66278 76968 85520 96210 99417 128280 132556 153936 165695 192420 198834 256560 265112 298251 331390 384840 397668 497085 530224 596502 662780 769680 795336 994170 1193004 1325560 1491255 1590672 1988340 2386008 2651120 2982510 3976680 4772016 5965020 7953360 11930040 23860080