Search a number
-
+
1153053660 = 2235114142611
BaseRepresentation
bin100010010111010…
…0011001111011100
32222100200012021010
41010232203033130
54330140204120
6310225535220
740400536323
oct10456431734
92870605233
101153053660
11541961310
122821a4510
13154b67c95
14ad1cd0ba
156b3657e0
hex44ba33dc

1153053660 has 96 divisors (see below), whose sum is σ = 3608043264. Its totient is φ = 272704000.

The previous prime is 1153053653. The next prime is 1153053691. The reversal of 1153053660 is 663503511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5755 + ... + 48365.

It is an arithmetic number, because the mean of its divisors is an integer number (37583784).

Almost surely, 21153053660 is an apocalyptic number.

1153053660 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 1153053660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804021632).

1153053660 is an abundant number, since it is smaller than the sum of its proper divisors (2454989604).

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

1153053660 is a wasteful number, since it uses less digits than its factorization.

1153053660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42675 (or 42673 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 1153053660 is about 33956.6438270922. The cubic root of 1153053660 is about 1048.6160633459.

The spelling of 1153053660 in words is "one billion, one hundred fifty-three million, fifty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 123 132 164 165 205 220 246 330 410 451 492 615 660 820 902 1230 1353 1804 2255 2460 2706 4510 5412 6765 9020 13530 27060 42611 85222 127833 170444 213055 255666 426110 468721 511332 639165 852220 937442 1278330 1406163 1747051 1874884 2343605 2556660 2812326 3494102 4687210 5241153 5624652 6988204 7030815 8735255 9374420 10482306 14061630 17470510 19217561 20964612 26205765 28123260 34941020 38435122 52411530 57652683 76870244 96087805 104823060 115305366 192175610 230610732 288263415 384351220 576526830 1153053660