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23455320 = 2335723989
BaseRepresentation
bin101100101111…
…0011001011000
31122010122122120
41121132121120
522001032240
62154421240
7403236600
oct131363130
948118576
1023455320
1112270369
127a31820
134b230b5
143187c00
1520d4ad0
hex165e658

23455320 has 96 divisors (see below), whose sum is σ = 81874800. Its totient is φ = 5359872.

The previous prime is 23455319. The next prime is 23455343. The reversal of 23455320 is 2355432.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 3886 + ... + 7874.

Almost surely, 223455320 is an apocalyptic number.

23455320 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 23455320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40937400).

23455320 is an abundant number, since it is smaller than the sum of its proper divisors (58419480).

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

23455320 is a wasteful number, since it uses less digits than its factorization.

23455320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 23455320 is about 4843.0692747472. The cubic root of 23455320 is about 286.2510713587.

The spelling of 23455320 in words is "twenty-three million, four hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 3989 5880 7978 11967 15956 19945 23934 27923 31912 39890 47868 55846 59835 79780 83769 95736 111692 119670 139615 159560 167538 195461 223384 239340 279230 335076 390922 418845 478680 558460 586383 670152 781844 837690 977305 1116920 1172766 1563688 1675380 1954610 2345532 2931915 3350760 3909220 4691064 5863830 7818440 11727660 23455320