Search a number
-
+
1341500040 = 233255097321
BaseRepresentation
bin100111111110101…
…1010101010001000
310110111021021002200
41033331122222020
510221411000130
6341041000200
745146363556
oct11775325210
93414237080
101341500040
11629272921
12315323060
13184c0850a
14ca244bd6
157cb8b760
hex4ff5aa88

1341500040 has 96 divisors (see below), whose sum is σ = 4369037400. Its totient is φ = 356981760.

The previous prime is 1341500023. The next prime is 1341500053. The reversal of 1341500040 is 400051431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 812592036 + 528908004 = 28506^2 + 22998^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1341499986 and 1341500022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179580 + ... + 186900.

Almost surely, 21341500040 is an apocalyptic number.

1341500040 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 1341500040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184518700).

1341500040 is an abundant number, since it is smaller than the sum of its proper divisors (3027537360).

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

1341500040 is a wasteful number, since it uses less digits than its factorization.

1341500040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847 (or 7840 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1341500040 is about 36626.4936896777. The cubic root of 1341500040 is about 1102.8849998205.

Adding to 1341500040 its reverse (400051431), we get a palindrome (1741551471).

The spelling of 1341500040 in words is "one billion, three hundred forty-one million, five hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 509 1018 1527 2036 2545 3054 4072 4581 5090 6108 7321 7635 9162 10180 12216 14642 15270 18324 20360 21963 22905 29284 30540 36605 36648 43926 45810 58568 61080 65889 73210 87852 91620 109815 131778 146420 175704 183240 219630 263556 292840 329445 439260 527112 658890 878520 1317780 2635560 3726389 7452778 11179167 14905556 18631945 22358334 29811112 33537501 37263890 44716668 55895835 67075002 74527780 89433336 111791670 134150004 149055560 167687505 223583340 268300008 335375010 447166680 670750020 1341500040