Search a number
-
+
23168040 = 2335727581
BaseRepresentation
bin101100001100…
…0010000101000
31121121001120120
41120120100220
521412334130
62144323240
7400632210
oct130302050
947531516
1023168040
1112094545
127913520
134a523cc
143111240
152079910
hex1618428

23168040 has 64 divisors (see below), whose sum is σ = 79436160. Its totient is φ = 5295360.

The previous prime is 23168027. The next prime is 23168069. The reversal of 23168040 is 4086132.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23168040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12951 + ... + 14630.

It is an arithmetic number, because the mean of its divisors is an integer number (1241190).

Almost surely, 223168040 is an apocalyptic number.

23168040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23168040 is an abundant number, since it is smaller than the sum of its proper divisors (56268120).

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

23168040 is a wasteful number, since it uses less digits than its factorization.

23168040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27602 (or 27598 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 23168040 is about 4813.3190212160. The cubic root of 23168040 is about 285.0776027519.

The spelling of 23168040 in words is "twenty-three million, one hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 27581 55162 82743 110324 137905 165486 193067 220648 275810 330972 386134 413715 551620 579201 661944 772268 827430 965335 1103240 1158402 1544536 1654860 1930670 2316804 2896005 3309720 3861340 4633608 5792010 7722680 11584020 23168040