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23120340 = 223517191193
BaseRepresentation
bin101100000110…
…0100111010100
31121111122010220
41120030213110
521404322330
62143314340
7400343145
oct130144724
947448126
1023120340
1112061721
1278ab9b0
134a36799
1430dbacc
15206a710
hex160c9d4

23120340 has 96 divisors (see below), whose sum is σ = 72213120. Its totient is φ = 5492736.

The previous prime is 23120333. The next prime is 23120347. The reversal of 23120340 is 4302132.

It is an interprime number because it is at equal distance from previous prime (23120333) and next prime (23120347).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23120347) 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 31 ways as a sum of consecutive naturals, for example, 18784 + ... + 19976.

It is an arithmetic number, because the mean of its divisors is an integer number (752220).

Almost surely, 223120340 is an apocalyptic number.

23120340 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 23120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36106560).

23120340 is an abundant number, since it is smaller than the sum of its proper divisors (49092780).

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

23120340 is a wasteful number, since it uses less digits than its factorization.

23120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23120340 is about 4808.3614672776. The cubic root of 23120340 is about 284.8818223484.

Adding to 23120340 its reverse (4302132), we get a palindrome (27422472).

The spelling of 23120340 in words is "twenty-three million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1193 1292 1615 1938 2386 3230 3579 3876 4772 4845 5965 6460 7158 9690 11930 14316 17895 19380 20281 22667 23860 35790 40562 45334 60843 68001 71580 81124 90668 101405 113335 121686 136002 202810 226670 243372 272004 304215 340005 385339 405620 453340 608430 680010 770678 1156017 1216860 1360020 1541356 1926695 2312034 3853390 4624068 5780085 7706780 11560170 23120340