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23079840 = 253576869
BaseRepresentation
bin101100000001…
…0101110100000
31121102120120220
41120002232200
521402023330
62142403040
7400114110
oct130025640
947376526
1023079840
1112034253
127890480
134a21214
1430cb040
15205d710
hex1602ba0

23079840 has 96 divisors (see below), whose sum is σ = 83099520. Its totient is φ = 5274624.

The previous prime is 23079817. The next prime is 23079869. The reversal of 23079840 is 4897032.

It is a tau number, because it is divible by the number of its divisors (96).

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, 75 + ... + 6794.

It is an arithmetic number, because the mean of its divisors is an integer number (865620).

Almost surely, 223079840 is an apocalyptic number.

23079840 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 23079840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41549760).

23079840 is an abundant number, since it is smaller than the sum of its proper divisors (60019680).

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

23079840 is a wasteful number, since it uses less digits than its factorization.

23079840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 23079840 is about 4804.1482075390. The cubic root of 23079840 is about 284.7153822174.

The spelling of 23079840 in words is "twenty-three million, seventy-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 6869 13738 20607 27476 34345 41214 48083 54952 68690 82428 96166 103035 109904 137380 144249 164856 192332 206070 219808 240415 274760 288498 329712 384664 412140 480830 549520 576996 659424 721245 769328 824280 961660 1099040 1153992 1442490 1538656 1648560 1923320 2307984 2884980 3297120 3846640 4615968 5769960 7693280 11539920 23079840