Search a number
-
+
1116657540 = 2232543144271
BaseRepresentation
bin100001010001110…
…1101011110000100
32212211012002011200
41002203231132010
54241331020130
6302445502500
736446301225
oct10243553604
92784162150
101116657540
11523362379
12271b71a30
1314a46390b
14a843724c
1568076760
hex428ed784

1116657540 has 72 divisors (see below), whose sum is σ = 3465990528. Its totient is φ = 290848320.

The previous prime is 1116657539. The next prime is 1116657551. The reversal of 1116657540 is 457566111.

It is a happy number.

1116657540 is a `hidden beast` number, since 1 + 1 + 1 + 66 + 57 + 540 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1116657495 and 1116657504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64396 + ... + 79875.

Almost surely, 21116657540 is an apocalyptic number.

1116657540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1116657540 is an abundant number, since it is smaller than the sum of its proper divisors (2349332988).

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

1116657540 is a wasteful number, since it uses less digits than its factorization.

1116657540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144329 (or 144324 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1116657540 is about 33416.4262002986. The cubic root of 1116657540 is about 1037.4647133690.

The spelling of 1116657540 in words is "one billion, one hundred sixteen million, six hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 144271 288542 432813 577084 721355 865626 1298439 1442710 1731252 2164065 2596878 2885420 4328130 5193756 6203653 6492195 8656260 12407306 12984390 18610959 24814612 25968780 31018265 37221918 55832877 62036530 74443836 93054795 111665754 124073060 186109590 223331508 279164385 372219180 558328770 1116657540