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23942040 = 23351271571
BaseRepresentation
bin101101101010…
…1001110011000
31200001101022020
41123111032120
522112121130
62213054440
7410334603
oct133251630
950041266
1023942040
1112573011
128027420
134c637b5
14327333a
15217de10
hex16d5398

23942040 has 64 divisors (see below), whose sum is σ = 72437760. Its totient is φ = 6330240.

The previous prime is 23942003. The next prime is 23942047. The reversal of 23942040 is 4024932.

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 23942040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23942047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14455 + ... + 16025.

It is an arithmetic number, because the mean of its divisors is an integer number (1131840).

Almost surely, 223942040 is an apocalyptic number.

23942040 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 23942040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36218880).

23942040 is an abundant number, since it is smaller than the sum of its proper divisors (48495720).

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

23942040 is a wasteful number, since it uses less digits than its factorization.

23942040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23942040 is about 4893.0603920246. The cubic root of 23942040 is about 288.2175247067.

Adding to 23942040 its reverse (4024932), we get a palindrome (27966972).

The spelling of 23942040 in words is "twenty-three million, nine hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1571 1905 2540 3048 3142 3810 4713 5080 6284 7620 7855 9426 12568 15240 15710 18852 23565 31420 37704 47130 62840 94260 188520 199517 399034 598551 798068 997585 1197102 1596136 1995170 2394204 2992755 3990340 4788408 5985510 7980680 11971020 23942040