Search a number
-
+
1040020512 = 25347230501
BaseRepresentation
bin111101111111010…
…111010000100000
32200110222111221020
4331333113100200
54112221124022
6251111125440
734526012526
oct7577272040
92613874836
101040020512
11494078893
12250373880
1313761016b
149c1a8316
156148935c
hex3dfd7420

1040020512 has 48 divisors (see below), whose sum is σ = 2788152192. Its totient is φ = 339296000.

The previous prime is 1040020507. The next prime is 1040020529. The reversal of 1040020512 is 2150200401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1040020491 and 1040020500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110739 + ... + 119762.

It is an arithmetic number, because the mean of its divisors is an integer number (58086504).

Almost surely, 21040020512 is an apocalyptic number.

1040020512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1040020512 is an abundant number, since it is smaller than the sum of its proper divisors (1748131680).

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

1040020512 is a wasteful number, since it uses less digits than its factorization.

1040020512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230561 (or 230553 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1040020512 is about 32249.3490166856. The cubic root of 1040020512 is about 1013.1660646500.

Adding to 1040020512 its reverse (2150200401), we get a palindrome (3190220913).

The spelling of 1040020512 in words is "one billion, forty million, twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 230501 461002 691503 922004 1383006 1844008 2766012 3688016 5532024 7376032 10833547 11064048 21667094 22128096 32500641 43334188 65001282 86668376 130002564 173336752 260005128 346673504 520010256 1040020512