Search a number
-
+
541031424 = 2103296073
BaseRepresentation
bin100000001111110…
…111110000000000
31101201001020120220
4200033313300000
52102001001144
6125404103040
716256456043
oct4017676000
91351036526
10541031424
11258441a0a
12131234a80
138812024b
1451bd6c5a
1532770919
hex203f7c00

541031424 has 88 divisors (see below), whose sum is σ = 1492017360. Its totient is φ = 174096384.

The previous prime is 541031411. The next prime is 541031467. The reversal of 541031424 is 424130145.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 541031394 and 541031403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86052 + ... + 92124.

Almost surely, 2541031424 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 541031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746008680).

541031424 is an abundant number, since it is smaller than the sum of its proper divisors (950985936).

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

541031424 is a wasteful number, since it uses less digits than its factorization.

541031424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6125 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 541031424 is about 23260.0822010585. The cubic root of 541031424 is about 814.8434210596.

Adding to 541031424 its reverse (424130145), we get a palindrome (965161569).

The spelling of 541031424 in words is "five hundred forty-one million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2784 3072 3712 5568 6073 7424 11136 12146 14848 18219 22272 24292 29696 36438 44544 48584 72876 89088 97168 145752 176117 194336 291504 352234 388672 528351 583008 704468 777344 1056702 1166016 1408936 1554688 2113404 2332032 2817872 3109376 4226808 4664064 5635744 6218752 8453616 9328128 11271488 16907232 18656256 22542976 33814464 45085952 67628928 90171904 135257856 180343808 270515712 541031424