[go: up one dir, main page]

Search a number
-
+
20542496 = 25131923113
BaseRepresentation
bin100111001011…
…1010000100000
31102122200000012
41032113100200
520224324441
62012144052
7336415442
oct116272040
942580005
1020542496
1110660977
126a68028
134343330
142a2a492
151c0b9eb
hex1397420

20542496 has 96 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 8515584.

The previous prime is 20542471. The next prime is 20542499. The reversal of 20542496 is 69424502.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (20542499) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181736 + ... + 181848.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 220542496 is an apocalyptic number.

20542496 is a gapful number since it is divisible by the number (26) 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 20542496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

20542496 is an abundant number, since it is smaller than the sum of its proper divisors (27720544).

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

20542496 is a wasteful number, since it uses less digits than its factorization.

20542496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 20542496 is about 4532.3830376525. The cubic root of 20542496 is about 273.8741674507.

Adding to 20542496 its reverse (69424502), we get a palindrome (89966998).

The spelling of 20542496 in words is "twenty million, five hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 23 26 32 38 46 52 76 92 104 113 152 184 208 226 247 299 304 368 416 437 452 494 598 608 736 874 904 988 1196 1469 1748 1808 1976 2147 2392 2599 2938 3496 3616 3952 4294 4784 5198 5681 5876 6992 7904 8588 9568 10396 11362 11752 13984 17176 20792 22724 23504 27911 33787 34352 41584 45448 47008 49381 55822 67574 68704 83168 90896 98762 111644 135148 181792 197524 223288 270296 395048 446576 540592 641953 790096 893152 1081184 1283906 1580192 2567812 5135624 10271248 20542496