[go: up one dir, main page]

Search a number
-
+
23167340 = 22571271303
BaseRepresentation
bin101100001100…
…0000101101100
31121121000121122
41120120011230
521412323330
62144320112
7400630160
oct130300554
947530548
1023167340
1112093a69
127913038
134a51cb1
143110ca0
1520795e5
hex161816c

23167340 has 48 divisors (see below), whose sum is σ = 56082432. Its totient is φ = 7874496.

The previous prime is 23167297. The next prime is 23167343. The reversal of 23167340 is 4376132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23167343) 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, 17129 + ... + 18431.

It is an arithmetic number, because the mean of its divisors is an integer number (1168384).

Almost surely, 223167340 is an apocalyptic number.

23167340 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 23167340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28041216).

23167340 is an abundant number, since it is smaller than the sum of its proper divisors (32915092).

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

23167340 is a wasteful number, since it uses less digits than its factorization.

23167340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 23167340 is about 4813.2463057691. The cubic root of 23167340 is about 285.0747316080.

The spelling of 23167340 in words is "twenty-three million, one hundred sixty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 508 635 889 1270 1303 1778 2540 2606 3556 4445 5212 6515 8890 9121 13030 17780 18242 26060 36484 45605 91210 165481 182420 330962 661924 827405 1158367 1654810 2316734 3309620 4633468 5791835 11583670 23167340