Search a number
-
+
20380896 = 25352621
BaseRepresentation
bin100110110111…
…1110011100000
31102100110100000
41031233303200
520204142041
62004500000
7335143344
oct115576340
942313300
1020380896
1110560518
1269aa600
1342b7903
1429c7624
151bc8bb6
hex136fce0

20380896 has 72 divisors (see below), whose sum is σ = 60127704. Its totient is φ = 6791040.

The previous prime is 20380889. The next prime is 20380897. The reversal of 20380896 is 69808302.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20380896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20380897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6466 + ... + 9086.

It is an arithmetic number, because the mean of its divisors is an integer number (835107).

Almost surely, 220380896 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 20380896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30063852).

20380896 is an abundant number, since it is smaller than the sum of its proper divisors (39746808).

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

20380896 is an equidigital number, since it uses as much as digits as its factorization.

20380896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20380896 is about 4514.5205725525. The cubic root of 20380896 is about 273.1541214037.

The spelling of 20380896 in words is "twenty million, three hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 2621 3888 5242 7776 7863 10484 15726 20968 23589 31452 41936 47178 62904 70767 83872 94356 125808 141534 188712 212301 251616 283068 377424 424602 566136 636903 754848 849204 1132272 1273806 1698408 2264544 2547612 3396816 5095224 6793632 10190448 20380896