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23640240 = 2435137577
BaseRepresentation
bin101101000101…
…1100010110000
31122111001022110
41122023202300
522022441430
62202405320
7404636661
oct132134260
948431273
1023640240
1112387298
127b00840
134b89310
1431d5368
15211e7b0
hex168b8b0

23640240 has 80 divisors (see below), whose sum is σ = 78932448. Its totient is φ = 5818368.

The previous prime is 23640233. The next prime is 23640241. The reversal of 23640240 is 4204632.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (23640241) 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 15 ways as a sum of consecutive naturals, for example, 669 + ... + 6908.

Almost surely, 223640240 is an apocalyptic number.

23640240 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 23640240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39466224).

23640240 is an abundant number, since it is smaller than the sum of its proper divisors (55292208).

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

23640240 is a wasteful number, since it uses less digits than its factorization.

23640240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7606 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 23640240 is about 4862.1229930967. The cubic root of 23640240 is about 287.0013637752.

Adding to 23640240 its reverse (4204632), we get a palindrome (27844872).

The spelling of 23640240 in words is "twenty-three million, six hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 7577 15154 22731 30308 37885 45462 60616 75770 90924 98501 113655 121232 151540 181848 197002 227310 295503 303080 363696 394004 454620 492505 591006 606160 788008 909240 985010 1182012 1477515 1576016 1818480 1970020 2364024 2955030 3940040 4728048 5910060 7880080 11820120 23640240