Search a number
-
+
20357744 = 24111031123
BaseRepresentation
bin100110110101…
…0001001110000
31102022021120112
41031222021300
520202421434
62004200452
7335016011
oct115521160
942267515
1020357744
1110545090
126999128
1342aa204
1429bd008
151bc1dce
hex136a270

20357744 has 40 divisors (see below), whose sum is σ = 43485312. Its totient is φ = 9155520.

The previous prime is 20357717. The next prime is 20357761. The reversal of 20357744 is 44775302.

It is a self number, because there is not a number n which added to its sum of digits gives 20357744.

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, 17567 + ... + 18689.

Almost surely, 220357744 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 20357744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21742656).

20357744 is an abundant number, since it is smaller than the sum of its proper divisors (23127568).

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

20357744 is a wasteful number, since it uses less digits than its factorization.

20357744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 20357744 is about 4511.9556735411. The cubic root of 20357744 is about 273.0506509712.

It can be divided in two parts, 2035 and 7744, that added together give a palindrome (9779).

The spelling of 20357744 in words is "twenty million, three hundred fifty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 103 176 206 412 824 1123 1133 1648 2246 2266 4492 4532 8984 9064 12353 17968 18128 24706 49412 98824 115669 197648 231338 462676 925352 1272359 1850704 2544718 5089436 10178872 20357744