Search a number
-
+
1052636260 = 2251317214009
BaseRepresentation
bin111110101111011…
…111010001100100
32201100201110111011
4332233133101210
54123433330020
6252241352004
735041155244
oct7657372144
92640643434
101052636260
114a0205225
12254638604
1313a1094c0
149db2db24
156262c35a
hex3ebdf464

1052636260 has 72 divisors (see below), whose sum is σ = 2529029160. Its totient is φ = 365776896.

The previous prime is 1052636257. The next prime is 1052636269. The reversal of 1052636260 is 626362501.

It can be written as a sum of positive squares in 12 ways, for example, as 45589504 + 1007046756 = 6752^2 + 31734^2 .

It is a super-2 number, since 2×10526362602 = 2216086191733575200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052636269) by changing a digit.

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, 68136 + ... + 82144.

It is an arithmetic number, because the mean of its divisors is an integer number (35125405).

Almost surely, 21052636260 is an apocalyptic number.

1052636260 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 1052636260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264514580).

1052636260 is an abundant number, since it is smaller than the sum of its proper divisors (1476392900).

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

1052636260 is a wasteful number, since it uses less digits than its factorization.

1052636260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14065 (or 14046 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 1052636260 is about 32444.3563659383. The cubic root of 1052636260 is about 1017.2462760847.

Adding to 1052636260 its reverse (626362501), we get a palindrome (1678998761).

The spelling of 1052636260 in words is "one billion, fifty-two million, six hundred thirty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 289 340 442 578 884 1105 1156 1445 2210 2890 3757 4420 5780 7514 14009 15028 18785 28018 37570 56036 70045 75140 140090 182117 238153 280180 364234 476306 728468 910585 952612 1190765 1821170 2381530 3095989 3642340 4048601 4763060 6191978 8097202 12383956 15479945 16194404 20243005 30959890 40486010 52631813 61919780 80972020 105263626 210527252 263159065 526318130 1052636260