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23643840 = 2635112239
BaseRepresentation
bin101101000110…
…0011011000000
31122111020020210
41122030123000
522023100330
62202434120
7404653323
oct132143300
948436223
1023643840
1112389a70
127b02940
134b8ab4c
1431d67ba
1521208b0
hex168c6c0

23643840 has 112 divisors (see below), whose sum is σ = 81930240. Its totient is φ = 5729280.

The previous prime is 23643833. The next prime is 23643863. The reversal of 23643840 is 4834632.

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 = 23643798 and 23643807.

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, 9441 + ... + 11679.

It is an arithmetic number, because the mean of its divisors is an integer number (731520).

Almost surely, 223643840 is an apocalyptic number.

23643840 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 23643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965120).

23643840 is an abundant number, since it is smaller than the sum of its proper divisors (58286400).

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

23643840 is a wasteful number, since it uses less digits than its factorization.

23643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 23643840 is about 4862.4931876559. The cubic root of 23643840 is about 287.0159314850.

The spelling of 23643840 in words is "twenty-three million, six hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2239 2640 3520 4478 5280 6717 8956 10560 11195 13434 17912 22390 24629 26868 33585 35824 44780 49258 53736 67170 71648 73887 89560 98516 107472 123145 134340 143296 147774 179120 197032 214944 246290 268680 295548 358240 369435 394064 429888 492580 537360 591096 716480 738870 788128 985160 1074720 1182192 1477740 1576256 1970320 2149440 2364384 2955480 3940640 4728768 5910960 7881280 11821920 23643840