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23043840 = 283517353
BaseRepresentation
bin101011111100…
…1111100000000
31121100202012120
41113321330000
521344400330
62141524240
7366604131
oct127717400
947322176
1023043840
111200a1a6
127873680
134a0aa11
1430bbc88
152052c10
hex15f9f00

23043840 has 144 divisors (see below), whose sum is σ = 78146208. Its totient is φ = 5767168.

The previous prime is 23043833. The next prime is 23043863. The reversal of 23043840 is 4834032.

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 23043840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65104 + ... + 65456.

It is an arithmetic number, because the mean of its divisors is an integer number (542682).

Almost surely, 223043840 is an apocalyptic number.

23043840 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 23043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39073104).

23043840 is an abundant number, since it is smaller than the sum of its proper divisors (55102368).

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

23043840 is a wasteful number, since it uses less digits than its factorization.

23043840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23043840 is about 4800.3999833347. The cubic root of 23043840 is about 284.5672718957.

Adding to 23043840 its reverse (4834032), we get a palindrome (27877872).

The spelling of 23043840 in words is "twenty-three million, forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 353 384 408 480 510 544 640 680 706 768 816 960 1020 1059 1088 1280 1360 1412 1632 1765 1920 2040 2118 2176 2720 2824 3264 3530 3840 4080 4236 4352 5295 5440 5648 6001 6528 7060 8160 8472 10590 10880 11296 12002 13056 14120 16320 16944 18003 21180 21760 22592 24004 28240 30005 32640 33888 36006 42360 45184 48008 56480 60010 65280 67776 72012 84720 90015 90368 96016 112960 120020 135552 144024 169440 180030 192032 225920 240040 271104 288048 338880 360060 384064 451840 480080 576096 677760 720120 768128 960160 1152192 1355520 1440240 1536256 1920320 2304384 2880480 3840640 4608768 5760960 7681280 11521920 23043840