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23283840 = 273567181
BaseRepresentation
bin101100011010…
…0100010000000
31121210221102110
41120310202000
521430040330
62151015320
7401623626
oct130644200
947727373
1023283840
1112163548
12796a540
134a93028
143141516
15209ddb0
hex1634880

23283840 has 128 divisors (see below), whose sum is σ = 75741120. Its totient is φ = 6082560.

The previous prime is 23283803. The next prime is 23283851. The reversal of 23283840 is 4838232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23283798 and 23283807.

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, 128550 + ... + 128730.

Almost surely, 223283840 is an apocalyptic number.

23283840 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 23283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37870560).

23283840 is an abundant number, since it is smaller than the sum of its proper divisors (52457280).

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

23283840 is a wasteful number, since it uses less digits than its factorization.

23283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 23283840 is about 4825.3331491204. Note that the first 3 decimals coincide. The cubic root of 23283840 is about 285.5517780631.

The spelling of 23283840 in words is "twenty-three million, two hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 181 192 201 240 268 320 335 362 384 402 480 536 543 640 670 724 804 905 960 1005 1072 1086 1340 1448 1608 1810 1920 2010 2144 2172 2680 2715 2896 3216 3620 4020 4288 4344 5360 5430 5792 6432 7240 8040 8576 8688 10720 10860 11584 12127 12864 14480 16080 17376 21440 21720 23168 24254 25728 28960 32160 34752 36381 42880 43440 48508 57920 60635 64320 69504 72762 86880 97016 115840 121270 128640 145524 173760 181905 194032 242540 291048 347520 363810 388064 485080 582096 727620 776128 970160 1164192 1455240 1552256 1940320 2328384 2910480 3880640 4656768 5820960 7761280 11641920 23283840