[go: up one dir, main page]

Search a number
-
+
1045500040 = 235139112207
BaseRepresentation
bin111110010100010…
…001000010001000
32200212021220102201
4332110101002020
54120122000130
6251424405544
734623414034
oct7624210210
92625256381
101045500040
11497180722
122521768b4
131387ab2a0
149cbd31c4
1561bbcbca
hex3e511088

1045500040 has 64 divisors (see below), whose sum is σ = 2537256960. Its totient is φ = 385432320.

The previous prime is 1045499981. The next prime is 1045500059. The reversal of 1045500040 is 400055401.

It is a junction number, because it is equal to n+sod(n) for n = 1045499990 and 1045500017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472617 + ... + 474823.

It is an arithmetic number, because the mean of its divisors is an integer number (39644640).

Almost surely, 21045500040 is an apocalyptic number.

1045500040 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 1045500040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268628480).

1045500040 is an abundant number, since it is smaller than the sum of its proper divisors (1491756920).

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

1045500040 is a wasteful number, since it uses less digits than its factorization.

1045500040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 1045500040 is about 32334.1930469897. The cubic root of 1045500040 is about 1014.9422957318.

Adding to 1045500040 its reverse (400055401), we get a palindrome (1445555441).

The spelling of 1045500040 in words is "one billion, forty-five million, five hundred thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 911 1822 2207 3644 4414 4555 7288 8828 9110 11035 11843 17656 18220 22070 23686 28691 36440 44140 47372 57382 59215 88280 94744 114764 118430 143455 229528 236860 286910 473720 573820 1147640 2010577 4021154 8042308 10052885 16084616 20105770 26137501 40211540 52275002 80423080 104550004 130687505 209100008 261375010 522750020 1045500040