Search a number
-
+
540991232 = 286731541
BaseRepresentation
bin100000001111101…
…101111100000000
31101200222012110022
4200033231330000
52101443204412
6125403153012
716256230625
oct4017557400
91350865408
10540991232
112584147a1
12131215768
1388107b72
1451bc634c
1532763a72
hex203edf00

540991232 has 36 divisors (see below), whose sum is σ = 1096021416. Its totient is φ = 266449920.

The previous prime is 540991219. The next prime is 540991301. The reversal of 540991232 is 232199045.

It is a junction number, because it is equal to n+sod(n) for n = 540991192 and 540991201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1382 + ... + 32922.

Almost surely, 2540991232 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 540991232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548010708).

540991232 is an abundant number, since it is smaller than the sum of its proper divisors (555030184).

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

540991232 is an equidigital number, since it uses as much as digits as its factorization.

540991232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31624 (or 31610 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 540991232 is about 23259.2182155807. The cubic root of 540991232 is about 814.8232429354.

The spelling of 540991232 in words is "five hundred forty million, nine hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 1072 2144 4288 8576 17152 31541 63082 126164 252328 504656 1009312 2018624 2113247 4037248 4226494 8074496 8452988 16905976 33811952 67623904 135247808 270495616 540991232