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23240000 = 2654783
BaseRepresentation
bin101100010100…
…1110101000000
31121201201021202
41120221311000
521422140000
62150040332
7401352050
oct130516500
947651252
1023240000
1112133613
1279490a8
134a790a4
14312d560
152090dd5
hex1629d40

23240000 has 140 divisors (see below), whose sum is σ = 66653664. Its totient is φ = 7872000.

The previous prime is 23239981. The next prime is 23240011. The reversal of 23240000 is 4232.

23240000 = T71 + T72 + ... + T518.

It is a tau number, because it is divible by the number of its divisors (140).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279959 + ... + 280041.

Almost surely, 223240000 is an apocalyptic number.

23240000 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 23240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33326832).

23240000 is an abundant number, since it is smaller than the sum of its proper divisors (43413664).

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

23240000 is an frugal number, since it uses more digits than its factorization.

23240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 23240000 is about 4820.7883172776. The cubic root of 23240000 is about 285.3724483212.

Adding to 23240000 its reverse (4232), we get a palindrome (23244232).

The spelling of 23240000 in words is "twenty-three million, two hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 83 100 112 125 140 160 166 175 200 224 250 280 320 332 350 400 415 448 500 560 581 625 664 700 800 830 875 1000 1120 1162 1250 1328 1400 1600 1660 1750 2000 2075 2240 2324 2500 2656 2800 2905 3320 3500 4000 4150 4375 4648 5000 5312 5600 5810 6640 7000 8000 8300 8750 9296 10000 10375 11200 11620 13280 14000 14525 16600 17500 18592 20000 20750 23240 26560 28000 29050 33200 35000 37184 40000 41500 46480 51875 56000 58100 66400 70000 72625 83000 92960 103750 116200 132800 140000 145250 166000 185920 207500 232400 280000 290500 332000 363125 415000 464800 581000 664000 726250 830000 929600 1162000 1452500 1660000 2324000 2905000 3320000 4648000 5810000 11620000 23240000