Search a number
-
+
1155253360 = 245176591289
BaseRepresentation
bin100010011011011…
…1100010001110000
32222111210221200111
41010312330101300
54331221101420
6310345031104
740425330412
oct10466742160
92874727614
101155253360
11543123a48
12282a85494
13155458291
14ad6029b2
156b64c45a
hex44dbc470

1155253360 has 80 divisors (see below), whose sum is σ = 2850487200. Its totient is φ = 433922048.

The previous prime is 1155253339. The next prime is 1155253381. The reversal of 1155253360 is 633525511.

It is an interprime number because it is at equal distance from previous prime (1155253339) and next prime (1155253381).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11552533602 = 2669220651582579200, which contains 22 as substring.

It is a congruent number.

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, 895596 + ... + 896884.

It is an arithmetic number, because the mean of its divisors is an integer number (35631090).

Almost surely, 21155253360 is an apocalyptic number.

1155253360 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 1155253360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425243600).

1155253360 is an abundant number, since it is smaller than the sum of its proper divisors (1695233840).

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

1155253360 is a wasteful number, since it uses less digits than its factorization.

1155253360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 1155253360 is about 33989.0182264802. The cubic root of 1155253360 is about 1049.2824606355.

Adding to 1155253360 its reverse (633525511), we get a palindrome (1788778871).

The spelling of 1155253360 in words is "one billion, one hundred fifty-five million, two hundred fifty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 659 680 1289 1318 1360 2578 2636 3295 5156 5272 6445 6590 10312 10544 11203 12890 13180 20624 21913 22406 25780 26360 43826 44812 51560 52720 56015 87652 89624 103120 109565 112030 175304 179248 219130 224060 350608 438260 448120 849451 876520 896240 1698902 1753040 3397804 4247255 6795608 8494510 13591216 14440667 16989020 28881334 33978040 57762668 67956080 72203335 115525336 144406670 231050672 288813340 577626680 1155253360