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23147320 = 2357192229
BaseRepresentation
bin101100001001…
…1001100111000
31121120000011011
41120103030320
521411203240
62144043304
7400514620
oct130231470
947500134
1023147320
111207aa19
127903534
134a45b51
143107880
1520736ea
hex1613338

23147320 has 96 divisors (see below), whose sum is σ = 63093600. Its totient is φ = 7485696.

The previous prime is 23147317. The next prime is 23147321. The reversal of 23147320 is 2374132.

It is a junction number, because it is equal to n+sod(n) for n = 23147291 and 23147300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23147321) 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 23 ways as a sum of consecutive naturals, for example, 100966 + ... + 101194.

It is an arithmetic number, because the mean of its divisors is an integer number (657225).

Almost surely, 223147320 is an apocalyptic number.

23147320 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 23147320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31546800).

23147320 is an abundant number, since it is smaller than the sum of its proper divisors (39946280).

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

23147320 is a wasteful number, since it uses less digits than its factorization.

23147320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 23147320 is about 4811.1661787970. The cubic root of 23147320 is about 284.9925924001.

The spelling of 23147320 in words is "twenty-three million, one hundred forty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 229 266 280 361 380 458 532 665 722 760 916 1064 1145 1330 1444 1603 1805 1832 2290 2527 2660 2888 3206 3610 4351 4580 5054 5320 6412 7220 8015 8702 9160 10108 12635 12824 14440 16030 17404 20216 21755 25270 30457 32060 34808 43510 50540 60914 64120 82669 87020 101080 121828 152285 165338 174040 243656 304570 330676 413345 578683 609140 661352 826690 1157366 1218280 1653380 2314732 2893415 3306760 4629464 5786830 11573660 23147320