Search a number
-
+
1057105060 = 225119674969
BaseRepresentation
bin111111000000100…
…010010010100100
32201200010111112021
4333000202102210
54131104330220
6252521232524
735124146644
oct7700422244
92650114467
101057105060
114a2787750
12256032744
1313b01256b
14a0574524
1562c114aa
hex3f0224a4

1057105060 has 48 divisors (see below), whose sum is σ = 2424723840. Its totient is φ = 383927040.

The previous prime is 1057105057. The next prime is 1057105079. The reversal of 1057105060 is 605017501.

It is a super-2 number, since 2×10571050602 = 2234942215755207200, which contains 22 as substring.

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, 210256 + ... + 215224.

It is an arithmetic number, because the mean of its divisors is an integer number (50515080).

Almost surely, 21057105060 is an apocalyptic number.

1057105060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057105060 is an abundant number, since it is smaller than the sum of its proper divisors (1367618780).

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

1057105060 is a wasteful number, since it uses less digits than its factorization.

1057105060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5956 (or 5954 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 1057105060 is about 32513.1521080316. The cubic root of 1057105060 is about 1018.6837629410.

The spelling of 1057105060 in words is "one billion, fifty-seven million, one hundred five thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 967 1934 3868 4835 4969 9670 9938 10637 19340 19876 21274 24845 42548 49690 53185 54659 99380 106370 109318 212740 218636 273295 546590 1093180 4805023 9610046 19220092 24025115 48050230 52855253 96100460 105710506 211421012 264276265 528552530 1057105060