[go: up one dir, main page]

Search a number
-
+
1045463020 = 225728312853
BaseRepresentation
bin111110010100000…
…111111111101100
32200212020000122121
4332110013333230
54120114304040
6251423522324
734623201100
oct7624077754
92625200577
101045463020
11497155928
122521593a4
13138797494
149cbc3900
1561bb1c4a
hex3e507fec

1045463020 has 72 divisors (see below), whose sum is σ = 2584887984. Its totient is φ = 354098304.

The previous prime is 1045462981. The next prime is 1045463039. The reversal of 1045463020 is 203645401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74914 + ... + 87766.

It is an arithmetic number, because the mean of its divisors is an integer number (35901222).

Almost surely, 21045463020 is an apocalyptic number.

1045463020 is a gapful number since it is divisible by the number (10) 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 1045463020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292443992).

1045463020 is an abundant number, since it is smaller than the sum of its proper divisors (1539424964).

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

1045463020 is a wasteful number, since it uses less digits than its factorization.

1045463020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12959 (or 12950 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1045463020 is about 32333.6205829165. The cubic root of 1045463020 is about 1014.9303162624.

The spelling of 1045463020 in words is "one billion, forty-five million, four hundred sixty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 83 98 140 166 196 245 332 415 490 581 830 980 1162 1660 2324 2905 4067 5810 8134 11620 12853 16268 20335 25706 40670 51412 64265 81340 89971 128530 179942 257060 359884 449855 629797 899710 1066799 1259594 1799420 2133598 2519188 3148985 4267196 5333995 6297970 7467593 10667990 12595940 14935186 21335980 29870372 37337965 52273151 74675930 104546302 149351860 209092604 261365755 522731510 1045463020