Search a number
-
+
20400352 = 257611493
BaseRepresentation
bin100110111010…
…0100011100000
31102101110000121
41031310203200
520210302402
62005130024
7335254150
oct115644340
942343017
1020400352
11105740a5
1269b9914
1342c371b
1429d0760
151bce837
hex13748e0

20400352 has 48 divisors (see below), whose sum is σ = 46684512. Its totient is φ = 8593920.

The previous prime is 20400349. The next prime is 20400353. The reversal of 20400352 is 25300402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400353) by changing a digit.

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, 12918 + ... + 14410.

It is an arithmetic number, because the mean of its divisors is an integer number (972594).

Almost surely, 220400352 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 20400352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23342256).

20400352 is an abundant number, since it is smaller than the sum of its proper divisors (26284160).

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

20400352 is a wasteful number, since it uses less digits than its factorization.

20400352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 20400352 is about 4516.6748831414. The cubic root of 20400352 is about 273.2410131737.

Adding to 20400352 its reverse (25300402), we get a palindrome (45700754).

The spelling of 20400352 in words is "twenty million, four hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1493 1708 1952 2986 3416 5972 6832 10451 11944 13664 20902 23888 41804 47776 83608 91073 167216 182146 334432 364292 637511 728584 1275022 1457168 2550044 2914336 5100088 10200176 20400352