Search a number
-
+
1052760140 = 225234634943
BaseRepresentation
bin111110101111111…
…101100001001100
32201100221202102022
4332233331201030
54124001311030
6252244145312
735042212355
oct7657754114
92640852368
101052760140
114a028a303
12254698238
1313a1509c3
149db62d2c
1562653de5
hex3ebfd84c

1052760140 has 48 divisors (see below), whose sum is σ = 2312368128. Its totient is φ = 401843904.

The previous prime is 1052760133. The next prime is 1052760221. The reversal of 1052760140 is 410672501.

It is a super-2 number, since 2×10527601402 = 2216607824745639200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 210509 + ... + 215451.

It is an arithmetic number, because the mean of its divisors is an integer number (48174336).

Almost surely, 21052760140 is an apocalyptic number.

1052760140 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 1052760140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156184064).

1052760140 is an abundant number, since it is smaller than the sum of its proper divisors (1259607988).

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

1052760140 is a wasteful number, since it uses less digits than its factorization.

1052760140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1052760140 is about 32446.2654245446. The cubic root of 1052760140 is about 1017.2861795570.

The spelling of 1052760140 in words is "one billion, fifty-two million, seven hundred sixty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 463 926 1852 2315 4630 4943 9260 9886 10649 19772 21298 24715 42596 49430 53245 98860 106490 113689 212980 227378 454756 568445 1136890 2273780 2288609 4577218 9154436 11443045 22886090 45772180 52638007 105276014 210552028 263190035 526380070 1052760140