Search a number
-
+
1115145040 = 245791011747
BaseRepresentation
bin100001001110111…
…1100001101010000
32212201100020102011
41002131330031100
54240434120130
6302353232304
736430401502
oct10235741520
92781306364
101115145040
11522519a79
12271562694
1314a054349
14a8161d72
1567d7852a
hex4277c350

1115145040 has 80 divisors (see below), whose sum is σ = 2653044480. Its totient is φ = 435801600.

The previous prime is 1115145037. The next prime is 1115145043. The reversal of 1115145040 is 405415111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1115145037) and next prime (1115145043).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115145043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637447 + ... + 639193.

It is an arithmetic number, because the mean of its divisors is an integer number (33163056).

Almost surely, 21115145040 is an apocalyptic number.

1115145040 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 1115145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326522240).

1115145040 is an abundant number, since it is smaller than the sum of its proper divisors (1537899440).

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

1115145040 is a wasteful number, since it uses less digits than its factorization.

1115145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 1115145040 is about 33393.7874461703. The cubic root of 1115145040 is about 1036.9960903195.

The spelling of 1115145040 in words is "one billion, one hundred fifteen million, one hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 101 158 202 316 395 404 505 632 790 808 1010 1264 1580 1616 1747 2020 3160 3494 4040 6320 6988 7979 8080 8735 13976 15958 17470 27952 31916 34940 39895 63832 69880 79790 127664 138013 139760 159580 176447 276026 319160 352894 552052 638320 690065 705788 882235 1104104 1380130 1411576 1764470 2208208 2760260 2823152 3528940 5520520 7057880 11041040 13939313 14115760 27878626 55757252 69696565 111514504 139393130 223029008 278786260 557572520 1115145040