Search a number
-
+
20623680 = 2633571131
BaseRepresentation
bin100111010101…
…1000101000000
31102210210101000
41032223011000
520234424210
62014012000
7340204230
oct116530500
942723330
1020623680
1110706970
126aa7000
13437127c
142a4bcc0
151c25ac0
hex13ab140

20623680 has 448 divisors, whose sum is σ = 93634560. Its totient is φ = 4147200.

The previous prime is 20623643. The next prime is 20623693. The reversal of 20623680 is 8632602.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665265 + ... + 665295.

Almost surely, 220623680 is an apocalyptic number.

20623680 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 20623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46817280).

20623680 is an abundant number, since it is smaller than the sum of its proper divisors (73010880).

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

20623680 is a wasteful number, since it uses less digits than its factorization.

20623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20623680 is about 4541.3302016039. The cubic root of 20623680 is about 274.2344770365.

The spelling of 20623680 in words is "twenty million, six hundred twenty-three thousand, six hundred eighty".