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23246080 = 2851113127
BaseRepresentation
bin101100010101…
…1010100000000
31121202000121221
41120223110000
521422333310
62150124424
7401405554
oct130532400
947660557
1023246080
1112138140
127950714
134a7baa0
143131864
152092ada
hex162b500

23246080 has 144 divisors (see below), whose sum is σ = 65931264. Its totient is φ = 7741440.

The previous prime is 23246051. The next prime is 23246107. The reversal of 23246080 is 8064232.

It is a happy number.

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, 182977 + ... + 183103.

It is an arithmetic number, because the mean of its divisors is an integer number (457856).

Almost surely, 223246080 is an apocalyptic number.

23246080 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 23246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32965632).

23246080 is an abundant number, since it is smaller than the sum of its proper divisors (42685184).

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

23246080 is a wasteful number, since it uses less digits than its factorization.

23246080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 23246080 is about 4821.4188782971. The cubic root of 23246080 is about 285.3973323315.

The spelling of 23246080 in words is "twenty-three million, two hundred forty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 127 128 130 143 160 176 208 220 254 256 260 286 320 352 416 440 508 520 572 635 640 704 715 832 880 1016 1040 1144 1270 1280 1397 1408 1430 1651 1664 1760 2032 2080 2288 2540 2794 2816 2860 3302 3328 3520 4064 4160 4576 5080 5588 5720 6604 6985 7040 8128 8255 8320 9152 10160 11176 11440 13208 13970 14080 16256 16510 16640 18161 18304 20320 22352 22880 26416 27940 32512 33020 36322 36608 40640 44704 45760 52832 55880 66040 72644 81280 89408 90805 91520 105664 111760 132080 145288 162560 178816 181610 183040 211328 223520 264160 290576 357632 363220 422656 447040 528320 581152 726440 894080 1056640 1162304 1452880 1788160 2113280 2324608 2905760 4649216 5811520 11623040 23246080