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1005320140 = 2251119922963
BaseRepresentation
bin111011111010111…
…111011111001100
32121001200112222021
4323322333133030
54024330221030
6243431255524
733625036336
oct7372773714
92531615867
101005320140
114765279a0
1224081a5a4
131303808b6
1497734456
155d3d297a
hex3bebf7cc

1005320140 has 48 divisors (see below), whose sum is σ = 2314771200. Its totient is φ = 363718080.

The previous prime is 1005320117. The next prime is 1005320159. The reversal of 1005320140 is 410235001.

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, 32299 + ... + 55261.

It is an arithmetic number, because the mean of its divisors is an integer number (48224400).

Almost surely, 21005320140 is an apocalyptic number.

1005320140 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 1005320140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157385600).

1005320140 is an abundant number, since it is smaller than the sum of its proper divisors (1309451060).

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

1005320140 is a wasteful number, since it uses less digits than its factorization.

1005320140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23182 (or 23180 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1005320140 is about 31706.7838167166. The cubic root of 1005320140 is about 1001.7702443856.

Adding to 1005320140 its reverse (410235001), we get a palindrome (1415555141).

The spelling of 1005320140 in words is "one billion, five million, three hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 796 995 1990 2189 3980 4378 8756 10945 21890 22963 43780 45926 91852 114815 229630 252593 459260 505186 1010372 1262965 2525930 4569637 5051860 9139274 18278548 22848185 45696370 50266007 91392740 100532014 201064028 251330035 502660070 1005320140