Search a number
-
+
1105726240 = 25517406517
BaseRepresentation
bin100000111101000…
…0000101100100000
32212001121201020201
41001322000230200
54231031214430
6301415314544
736254342443
oct10172005440
92761551221
101105726240
11518176543
1226a37ba54
131481071a8
14a6bcd65a
15671178ca
hex41e80b20

1105726240 has 48 divisors (see below), whose sum is σ = 2765948472. Its totient is φ = 416272384.

The previous prime is 1105726207. The next prime is 1105726247. The reversal of 1105726240 is 426275011.

It can be written as a sum of positive squares in 4 ways, for example, as 1091377296 + 14348944 = 33036^2 + 3788^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1105726199 and 1105726208.

It is not an unprimeable number, because it can be changed into a prime (1105726247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200539 + ... + 205978.

Almost surely, 21105726240 is an apocalyptic number.

1105726240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1105726240 is an abundant number, since it is smaller than the sum of its proper divisors (1660222232).

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

1105726240 is a wasteful number, since it uses less digits than its factorization.

1105726240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406549 (or 406541 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1105726240 is about 33252.4621644774. The cubic root of 1105726240 is about 1034.0682536969.

The spelling of 1105726240 in words is "one billion, one hundred five million, seven hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 406517 813034 1626068 2032585 3252136 4065170 6504272 6910789 8130340 13008544 13821578 16260680 27643156 32521360 34553945 55286312 65042720 69107890 110572624 138215780 221145248 276431560 552863120 1105726240