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20342040 = 2335283599
BaseRepresentation
bin100110110011…
…0010100011000
31102021111000220
41031212110120
520201421130
62004000040
7334622145
oct115462430
942244026
1020342040
1110534304
126990020
1342a3014
1429b73cc
151bbc410
hex1366518

20342040 has 64 divisors (see below), whose sum is σ = 61344000. Its totient is φ = 5396352.

The previous prime is 20342039. The next prime is 20342041. The reversal of 20342040 is 4024302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20342039) and next prime (20342041).

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 (20342041) 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, 33661 + ... + 34259.

It is an arithmetic number, because the mean of its divisors is an integer number (958500).

Almost surely, 220342040 is an apocalyptic number.

20342040 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 20342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30672000).

20342040 is an abundant number, since it is smaller than the sum of its proper divisors (41001960).

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

20342040 is a wasteful number, since it uses less digits than its factorization.

20342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 20342040 is about 4510.2150724771. The cubic root of 20342040 is about 272.9804223237.

Adding to 20342040 its reverse (4024302), we get a palindrome (24366342).

The spelling of 20342040 in words is "twenty million, three hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 283 566 599 849 1132 1198 1415 1698 1797 2264 2396 2830 2995 3396 3594 4245 4792 5660 5990 6792 7188 8490 8985 11320 11980 14376 16980 17970 23960 33960 35940 71880 169517 339034 508551 678068 847585 1017102 1356136 1695170 2034204 2542755 3390340 4068408 5085510 6780680 10171020 20342040