Search a number
-
+
1000451140 = 2251337103997
BaseRepresentation
bin111011101000011…
…010110001000100
32120201112011221221
4323220122301010
54022103414030
6243135050124
733535460113
oct7350326104
92521464857
101000451140
11473801827
1223b070944
1312c367630
1496c27c7a
155cc6ee7a
hex3ba1ac44

1000451140 has 48 divisors (see below), whose sum is σ = 2323731312. Its totient is φ = 359410176.

The previous prime is 1000451119. The next prime is 1000451197. The reversal of 1000451140 is 411540001.

1000451140 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15872256 + 984578884 = 3984^2 + 31378^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42379 + ... + 61618.

It is an arithmetic number, because the mean of its divisors is an integer number (48411069).

Almost surely, 21000451140 is an apocalyptic number.

1000451140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000451140 is an abundant number, since it is smaller than the sum of its proper divisors (1323280172).

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

1000451140 is a wasteful number, since it uses less digits than its factorization.

1000451140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104056 (or 104054 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1000451140 is about 31629.9089470710. The cubic root of 1000451140 is about 1000.1503573915.

Adding to 1000451140 its reverse (411540001), we get a palindrome (1411991141).

The spelling of 1000451140 in words is "one billion, four hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 103997 207994 415988 519985 1039970 1351961 2079940 2703922 3847889 5407844 6759805 7695778 13519610 15391556 19239445 27039220 38478890 50022557 76957780 100045114 200090228 250112785 500225570 1000451140