[go: up one dir, main page]

Search a number
-
+
23448000 = 26353977
BaseRepresentation
bin101100101110…
…0100111000000
31122010021121110
41121130213000
522000314000
62154323320
7403206342
oct131344700
948107543
1023448000
1112265914
127a29540
134b1c974
143185292
1520d2850
hex165c9c0

23448000 has 112 divisors (see below), whose sum is σ = 77504544. Its totient is φ = 6246400.

The previous prime is 23447989. The next prime is 23448001. The reversal of 23448000 is 84432.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23448001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23512 + ... + 24488.

Almost surely, 223448000 is an apocalyptic number.

23448000 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 23448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38752272).

23448000 is an abundant number, since it is smaller than the sum of its proper divisors (54056544).

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

23448000 is an equidigital number, since it uses as much as digits as its factorization.

23448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 23448000 is about 4842.3134966667. The cubic root of 23448000 is about 286.2212902564.

The spelling of 23448000 in words is "twenty-three million, four hundred forty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 977 1000 1200 1500 1600 1954 2000 2400 2931 3000 3908 4000 4800 4885 5862 6000 7816 8000 9770 11724 12000 14655 15632 19540 23448 24000 24425 29310 31264 39080 46896 48850 58620 62528 73275 78160 93792 97700 117240 122125 146550 156320 187584 195400 234480 244250 293100 312640 366375 390800 468960 488500 586200 732750 781600 937920 977000 1172400 1465500 1563200 1954000 2344800 2931000 3908000 4689600 5862000 7816000 11724000 23448000