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23276000 = 255311232
BaseRepresentation
bin101100011001…
…0100111100000
31121210112200002
41120302213200
521424313000
62150515132
7401562026
oct130624740
947715602
1023276000
1112158670
127965aa8
134a8c5a7
14313c716
15209b8d5
hex16329e0

23276000 has 144 divisors (see below), whose sum is σ = 65218608. Its totient is φ = 8096000.

The previous prime is 23275999. The next prime is 23276051. The reversal of 23276000 is 67232.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1011989 + ... + 1012011.

It is an arithmetic number, because the mean of its divisors is an integer number (452907).

Almost surely, 223276000 is an apocalyptic number.

23276000 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 23276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32609304).

23276000 is an abundant number, since it is smaller than the sum of its proper divisors (41942608).

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

23276000 is a wasteful number, since it uses less digits than its factorization.

23276000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 23276000 is about 4824.5207015827. The cubic root of 23276000 is about 285.5197246839.

The spelling of 23276000 in words is "twenty-three million, two hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 80 88 92 100 110 115 125 160 176 184 200 220 230 250 253 275 352 368 400 440 460 500 506 529 550 575 736 800 880 920 1000 1012 1058 1100 1150 1265 1375 1760 1840 2000 2024 2116 2200 2300 2530 2645 2750 2875 3680 4000 4048 4232 4400 4600 5060 5290 5500 5750 5819 6325 8096 8464 8800 9200 10120 10580 11000 11500 11638 12650 13225 16928 18400 20240 21160 22000 23000 23276 25300 26450 29095 31625 40480 42320 44000 46000 46552 50600 52900 58190 63250 66125 84640 92000 93104 101200 105800 116380 126500 132250 145475 186208 202400 211600 232760 253000 264500 290950 423200 465520 506000 529000 581900 727375 931040 1012000 1058000 1163800 1454750 2116000 2327600 2909500 4655200 5819000 11638000 23276000