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20073368 = 237312373
BaseRepresentation
bin100110010010…
…0101110011000
31101202211111002
41030210232120
520114321433
61554124132
7332422640
oct114445630
941684432
1020073368
1110370467
126880648
13420a943
142947520
151b679e8
hex1324b98

20073368 has 48 divisors (see below), whose sum is σ = 44565840. Its totient is φ = 8303040.

The previous prime is 20073353. The next prime is 20073373. The reversal of 20073368 is 86337002.

It is a self number, because there is not a number n which added to its sum of digits gives 20073368.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 53630 + ... + 54002.

It is an arithmetic number, because the mean of its divisors is an integer number (928455).

Almost surely, 220073368 is an apocalyptic number.

20073368 is a gapful number since it is divisible by the number (28) 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 20073368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22282920).

20073368 is an abundant number, since it is smaller than the sum of its proper divisors (24492472).

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

20073368 is a wasteful number, since it uses less digits than its factorization.

20073368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 20073368 is about 4480.3312377546. The cubic root of 20073368 is about 271.7732756003.

It can be divided in two parts, 2007 and 3368, that multiplied together give a palindrome (6759576).

The spelling of 20073368 in words is "twenty million, seventy-three thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 373 434 746 868 961 1492 1736 1922 2611 2984 3844 5222 6727 7688 10444 11563 13454 20888 23126 26908 46252 53816 80941 92504 161882 323764 358453 647528 716906 1433812 2509171 2867624 5018342 10036684 20073368