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23042320 = 2457231789
BaseRepresentation
bin101011111100…
…1100100010000
31121100200010021
41113321210100
521344323240
62141513224
7366566530
oct127714420
947320107
1023042320
1112009044
127872814
134a0a112
1430bb4c0
15205254a
hex15f9910

23042320 has 80 divisors (see below), whose sum is σ = 63924480. Its totient is φ = 7552512.

The previous prime is 23042311. The next prime is 23042321. The reversal of 23042320 is 2324032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23042294 and 23042303.

It is not an unprimeable number, because it can be changed into a prime (23042321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11986 + ... + 13774.

It is an arithmetic number, because the mean of its divisors is an integer number (799056).

Almost surely, 223042320 is an apocalyptic number.

23042320 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 23042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31962240).

23042320 is an abundant number, since it is smaller than the sum of its proper divisors (40882160).

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

23042320 is a wasteful number, since it uses less digits than its factorization.

23042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 23042320 is about 4800.2416605834. The cubic root of 23042320 is about 284.5610149559.

Adding to 23042320 its reverse (2324032), we get a palindrome (25366352).

It can be divided in two parts, 2304 and 2320, that added together give a square (4624 = 682).

The spelling of 23042320 in words is "twenty-three million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1789 1840 2576 3220 3578 6440 7156 8945 12523 12880 14312 17890 25046 28624 35780 41147 50092 62615 71560 82294 100184 125230 143120 164588 200368 205735 250460 288029 329176 411470 500920 576058 658352 822940 1001840 1152116 1440145 1645880 2304232 2880290 3291760 4608464 5760580 11521160 23042320