Search a number
-
+
1161541056 = 26313235797
BaseRepresentation
bin100010100111011…
…1011010111000000
32222221122101210010
41011032323113000
54334323303211
6311131504520
740532636034
oct10516732700
92887571703
101161541056
11546728a95
12284bb8140
1315684a200
14b039c1c4
156be904a6
hex453bb5c0

1161541056 has 84 divisors (see below), whose sum is σ = 3327925272. Its totient is φ = 357387264.

The previous prime is 1161541049. The next prime is 1161541063. The reversal of 1161541056 is 6501451611.

It is an interprime number because it is at equal distance from previous prime (1161541049) and next prime (1161541063).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14550 + ... + 50346.

It is an arithmetic number, because the mean of its divisors is an integer number (39618158).

Almost surely, 21161541056 is an apocalyptic number.

1161541056 is a gapful number since it is divisible by the number (16) 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 1161541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663962636).

1161541056 is an abundant number, since it is smaller than the sum of its proper divisors (2166384216).

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

1161541056 is a wasteful number, since it uses less digits than its factorization.

1161541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35838 (or 35815 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 1161541056 is about 34081.3887041007. The cubic root of 1161541056 is about 1051.1826601626.

Adding to 1161541056 its reverse (6501451611), we get a palindrome (7662992667).

The spelling of 1161541056 in words is "one billion, one hundred sixty-one million, five hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2496 2704 4056 5408 8112 10816 16224 32448 35797 71594 107391 143188 214782 286376 429564 465361 572752 859128 930722 1145504 1396083 1718256 1861444 2291008 2792166 3436512 3722888 5584332 6049693 6873024 7445776 11168664 12099386 14891552 18149079 22337328 24198772 29783104 36298158 44674656 48397544 72596316 89349312 96795088 145192632 193590176 290385264 387180352 580770528 1161541056