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20207488 = 277191187
BaseRepresentation
bin100110100010…
…1011110000000
31102000122110111
41031011132000
520133114423
62001041104
7333521650
oct115053600
942018414
1020207488
1110452204
126926194
1342569c2
142980360
151b9260d
hex1345780

20207488 has 64 divisors (see below), whose sum is σ = 48470400. Its totient is φ = 8197632.

The previous prime is 20207483. The next prime is 20207491. The reversal of 20207488 is 88470202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20207483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16431 + ... + 17617.

It is an arithmetic number, because the mean of its divisors is an integer number (757350).

Almost surely, 220207488 is an apocalyptic number.

20207488 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 20207488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24235200).

20207488 is an abundant number, since it is smaller than the sum of its proper divisors (28262912).

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

20207488 is a wasteful number, since it uses less digits than its factorization.

20207488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 20207488 is about 4495.2739627302. The cubic root of 20207488 is about 272.3772159573.

The spelling of 20207488 in words is "twenty million, two hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1187 1216 2128 2374 2432 4256 4748 8309 8512 9496 16618 17024 18992 22553 33236 37984 45106 66472 75968 90212 132944 151936 157871 180424 265888 315742 360848 531776 631484 721696 1063552 1262968 1443392 2525936 2886784 5051872 10103744 20207488