Search a number
-
+
1053057560 = 23547560137
BaseRepresentation
bin111110110001000…
…110001000011000
32201101111212101212
4332301012020120
54124040320220
6252254402252
735044561442
oct7661061030
92641455355
101053057560
114a0472805
12254800388
1313a2261a9
149dbdd492
15626b20c5
hex3ec46218

1053057560 has 32 divisors (see below), whose sum is σ = 2419796160. Its totient is φ = 412260096.

The previous prime is 1053057497. The next prime is 1053057581. The reversal of 1053057560 is 657503501.

It is a super-2 number, since 2×10530575602 = 2217860449346307200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278189 + ... + 281948.

It is an arithmetic number, because the mean of its divisors is an integer number (75618630).

Almost surely, 21053057560 is an apocalyptic number.

1053057560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053057560 is an abundant number, since it is smaller than the sum of its proper divisors (1366738600).

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

1053057560 is a wasteful number, since it uses less digits than its factorization.

1053057560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560195 (or 560191 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 32.

The square root of 1053057560 is about 32450.8483710365. The cubic root of 1053057560 is about 1017.3819699008.

The spelling of 1053057560 in words is "one billion, fifty-three million, fifty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 560137 1120274 2240548 2800685 4481096 5601370 11202740 22405480 26326439 52652878 105305756 131632195 210611512 263264390 526528780 1053057560