Search a number
-
+
1120071816 = 2332120112953
BaseRepresentation
bin100001011000010…
…1111000010001000
32220001121112200100
41002300233002020
54243214244231
6303051005400
736520311333
oct10260570210
92801545610
101120071816
11525284596
12273139860
1314b08a9b6
14a8a8561a
15684ed1e6
hex42c2f088

1120071816 has 48 divisors (see below), whose sum is σ = 3036288060. Its totient is φ = 373017600.

The previous prime is 1120071773. The next prime is 1120071817. The reversal of 1120071816 is 6181700211.

It can be written as a sum of positive squares in 2 ways, for example, as 753502500 + 366569316 = 27450^2 + 19146^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1120071816.

It is not an unprimeable number, because it can be changed into a prime (1120071817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79996 + ... + 92948.

Almost surely, 21120071816 is an apocalyptic number.

It is an amenable number.

1120071816 is an abundant number, since it is smaller than the sum of its proper divisors (1916216244).

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

1120071816 is a wasteful number, since it uses less digits than its factorization.

1120071816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14166 (or 14159 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 1120071816 is about 33467.4740008863. The cubic root of 1120071816 is about 1038.5210165718.

The spelling of 1120071816 in words is "one billion, one hundred twenty million, seventy-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1201 2402 3603 4804 7206 9608 10809 12953 14412 21618 25906 28824 38859 43236 51812 77718 86472 103624 116577 155436 233154 310872 466308 932616 15556553 31113106 46669659 62226212 93339318 124452424 140008977 186678636 280017954 373357272 560035908 1120071816