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20030648 = 23112947167
BaseRepresentation
bin100110001101…
…0010010111000
31101200122212212
41030122102320
520111440043
61553154252
7332154251
oct114322270
941618785
1020030648
1110341360
12685b988
1341c4371
142935b28
151b5a018
hex131a4b8

20030648 has 64 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 8552320.

The previous prime is 20030629. The next prime is 20030657. The reversal of 20030648 is 84603002.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 119861 + ... + 120027.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 220030648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20030648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

20030648 is an abundant number, since it is smaller than the sum of its proper divisors (23514952).

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

20030648 is a wasteful number, since it uses less digits than its factorization.

20030648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 20030648 is about 4475.5611938616. The cubic root of 20030648 is about 271.5803433479.

The spelling of 20030648 in words is "twenty million, thirty thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 22 29 44 47 58 88 94 116 167 188 232 319 334 376 517 638 668 1034 1276 1336 1363 1837 2068 2552 2726 3674 4136 4843 5452 7348 7849 9686 10904 14696 14993 15698 19372 29986 31396 38744 53273 59972 62792 86339 106546 119944 172678 213092 227621 345356 426184 455242 690712 910484 1820968 2503831 5007662 10015324 20030648