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23471040 = 2635231063
BaseRepresentation
bin101100110001…
…0001111000000
31122011110012210
41121202033000
522002033130
62155022120
7403333455
oct131421700
948143183
1023471040
111228115a
127a3a940
134b2a2b8
14318d82c
1520d95b0
hex16623c0

23471040 has 112 divisors (see below), whose sum is σ = 77833728. Its totient is φ = 5981184.

The previous prime is 23471027. The next prime is 23471047. The reversal of 23471040 is 4017432.

It is a junction number, because it is equal to n+sod(n) for n = 23470998 and 23471016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23471047) 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, 21549 + ... + 22611.

It is an arithmetic number, because the mean of its divisors is an integer number (694944).

Almost surely, 223471040 is an apocalyptic number.

23471040 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 23471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38916864).

23471040 is an abundant number, since it is smaller than the sum of its proper divisors (54362688).

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

23471040 is a wasteful number, since it uses less digits than its factorization.

23471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 23471040 is about 4844.6919406707. The cubic root of 23471040 is about 286.3150065616.

Adding to 23471040 its reverse (4017432), we get a palindrome (27488472).

The spelling of 23471040 in words is "twenty-three million, four hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1063 1104 1380 1472 1840 2126 2208 2760 3189 3680 4252 4416 5315 5520 6378 7360 8504 10630 11040 12756 15945 17008 21260 22080 24449 25512 31890 34016 42520 48898 51024 63780 68032 73347 85040 97796 102048 122245 127560 146694 170080 195592 204096 244490 255120 293388 340160 366735 391184 488980 510240 586776 733470 782368 977960 1020480 1173552 1466940 1564736 1955920 2347104 2933880 3911840 4694208 5867760 7823680 11735520 23471040