Search a number
-
+
1080457536 = 26314473889
BaseRepresentation
bin100000001100110…
…0111100101000000
32210022001221002210
41000121213211000
54203044120121
6255113542120
735526510654
oct10031474500
92708057083
101080457536
11504987814
12261a14940
13142aca8b2
14a36d2a64
1564cc5876
hex40667940

1080457536 has 56 divisors (see below), whose sum is σ = 2861421760. Its totient is φ = 359811072.

The previous prime is 1080457471. The next prime is 1080457541. The reversal of 1080457536 is 6357540801.

It is a junction number, because it is equal to n+sod(n) for n = 1080457494 and 1080457503.

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, 275880 + ... + 279768.

Almost surely, 21080457536 is an apocalyptic number.

1080457536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1080457536 is an abundant number, since it is smaller than the sum of its proper divisors (1780964224).

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

1080457536 is a wasteful number, since it uses less digits than its factorization.

1080457536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 1080457536 is about 32870.3139017564. The cubic root of 1080457536 is about 1026.1304319130.

The spelling of 1080457536 in words is "one billion, eighty million, four hundred fifty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1447 2894 3889 4341 5788 7778 8682 11576 11667 15556 17364 23152 23334 31112 34728 46304 46668 62224 69456 92608 93336 124448 138912 186672 248896 277824 373344 746688 5627383 11254766 16882149 22509532 33764298 45019064 67528596 90038128 135057192 180076256 270114384 360152512 540228768 1080457536