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23072040 = 233457121
BaseRepresentation
bin101100000000…
…0110100101000
31121102011220000
41120000310220
521401301130
62142303000
7400052265
oct130006450
947364800
1023072040
1112029402
127887a60
134a1a7c4
1430c826c
15205b260
hex1600d28

23072040 has 80 divisors (see below), whose sum is σ = 77558580. Its totient is φ = 6151680.

The previous prime is 23072039. The next prime is 23072051. The reversal of 23072040 is 4027032.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19766916 + 3305124 = 4446^2 + 1818^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321 + ... + 6800.

Almost surely, 223072040 is an apocalyptic number.

23072040 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 23072040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38779290).

23072040 is an abundant number, since it is smaller than the sum of its proper divisors (54486540).

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

23072040 is a wasteful number, since it uses less digits than its factorization.

23072040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7144 (or 7131 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 23072040 is about 4803.3363405033. The cubic root of 23072040 is about 284.6833047246.

Adding to 23072040 its reverse (4027032), we get a palindrome (27099072).

The spelling of 23072040 in words is "twenty-three million, seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 7121 14242 21363 28484 35605 42726 56968 64089 71210 85452 106815 128178 142420 170904 192267 213630 256356 284840 320445 384534 427260 512712 576801 640890 769068 854520 961335 1153602 1281780 1538136 1922670 2307204 2563560 2884005 3845340 4614408 5768010 7690680 11536020 23072040