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23880960 = 28335691
BaseRepresentation
bin101101100011…
…0010100000000
31122221021112000
41123012110000
522103142320
62211504000
7406661535
oct133062400
948837460
1023880960
1112531134
127bb8000
134c41a5c
143258d8c
15216ac90
hex16c6500

23880960 has 144 divisors (see below), whose sum is σ = 84866880. Its totient is φ = 6359040.

The previous prime is 23880917. The next prime is 23881027. The reversal of 23880960 is 6908832.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34215 + ... + 34905.

Almost surely, 223880960 is an apocalyptic number.

23880960 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 23880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42433440).

23880960 is an abundant number, since it is smaller than the sum of its proper divisors (60985920).

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

23880960 is an equidigital number, since it uses as much as digits as its factorization.

23880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 23880960 is about 4886.8149136222. The cubic root of 23880960 is about 287.9722195426.

The spelling of 23880960 in words is "twenty-three million, eight hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 691 720 768 864 960 1080 1152 1280 1382 1440 1728 1920 2073 2160 2304 2764 2880 3455 3456 3840 4146 4320 5528 5760 6219 6910 6912 8292 8640 10365 11056 11520 12438 13820 16584 17280 18657 20730 22112 24876 27640 31095 33168 34560 37314 41460 44224 49752 55280 62190 66336 74628 82920 88448 93285 99504 110560 124380 132672 149256 165840 176896 186570 199008 221120 248760 265344 298512 331680 373140 398016 442240 497520 530688 597024 663360 746280 796032 884480 995040 1194048 1326720 1492560 1592064 1990080 2388096 2653440 2985120 3980160 4776192 5970240 7960320 11940480 23880960