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23480160 = 2535114447
BaseRepresentation
bin101100110010…
…0011101100000
31122011220201120
41121210131200
522002331120
62155132240
7403402164
oct131443540
948156646
1023480160
1112287aa0
127a44080
134b314b2
143192ca4
1520dc140
hex1664760

23480160 has 96 divisors (see below), whose sum is σ = 80704512. Its totient is φ = 5690880.

The previous prime is 23480159. The next prime is 23480173. The reversal of 23480160 is 6108432.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23480160.

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 15 ways as a sum of consecutive naturals, for example, 3057 + ... + 7503.

It is an arithmetic number, because the mean of its divisors is an integer number (840672).

Almost surely, 223480160 is an apocalyptic number.

23480160 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 23480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40352256).

23480160 is an abundant number, since it is smaller than the sum of its proper divisors (57224352).

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

23480160 is a wasteful number, since it uses less digits than its factorization.

23480160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 23480160 is about 4845.6330855730. The cubic root of 23480160 is about 286.3520856561.

Adding to 23480160 its reverse (6108432), we get a palindrome (29588592).

The spelling of 23480160 in words is "twenty-three million, four hundred eighty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 4447 5280 8894 13341 17788 22235 26682 35576 44470 48917 53364 66705 71152 88940 97834 106728 133410 142304 146751 177880 195668 213456 244585 266820 293502 355760 391336 426912 489170 533640 587004 711520 733755 782672 978340 1067280 1174008 1467510 1565344 1956680 2134560 2348016 2935020 3913360 4696032 5870040 7826720 11740080 23480160