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20600416 = 2537127137
BaseRepresentation
bin100111010010…
…1011001100000
31102202121110101
41032211121200
520233203131
62013312144
7340046344
oct116453140
942677411
1020600416
11106a0441
126a95654
1343637c5
142a43624
151c1dc61
hex13a5660

20600416 has 48 divisors (see below), whose sum is σ = 42287616. Its totient is φ = 9870336.

The previous prime is 20600407. The next prime is 20600431. The reversal of 20600416 is 61400602.

It is a junction number, because it is equal to n+sod(n) for n = 20600393 and 20600402.

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 7 ways as a sum of consecutive naturals, for example, 150300 + ... + 150436.

It is an arithmetic number, because the mean of its divisors is an integer number (880992).

Almost surely, 220600416 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 20600416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21143808).

20600416 is an abundant number, since it is smaller than the sum of its proper divisors (21687200).

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

20600416 is a wasteful number, since it uses less digits than its factorization.

20600416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 20600416 is about 4538.7681148082. The cubic root of 20600416 is about 274.1313239098.

The spelling of 20600416 in words is "twenty million, six hundred thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 37 74 127 137 148 254 274 296 508 548 592 1016 1096 1184 2032 2192 4064 4384 4699 5069 9398 10138 17399 18796 20276 34798 37592 40552 69596 75184 81104 139192 150368 162208 278384 556768 643763 1287526 2575052 5150104 10300208 20600416