Search a number
-
+
1120334208 = 27371632557
BaseRepresentation
bin100001011000110…
…1111000110000000
32220002002212121120
41002301233012000
54243301143313
6303100352240
736522453330
oct10261570600
92802085546
101120334208
11525443744
12273245680
1314b150266
14a8b130c0
1568550d23
hex42c6f180

1120334208 has 128 divisors (see below), whose sum is σ = 3423217920. Its totient is φ = 318007296.

The previous prime is 1120334207. The next prime is 1120334213. The reversal of 1120334208 is 8024330211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11203342082 = 2510297475229974528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120334207) 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, 436866 + ... + 439422.

It is an arithmetic number, because the mean of its divisors is an integer number (26743890).

Almost surely, 21120334208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120334208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711608960).

1120334208 is an abundant number, since it is smaller than the sum of its proper divisors (2302883712).

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

1120334208 is a wasteful number, since it uses less digits than its factorization.

1120334208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1120334208 is about 33471.3938759652. The cubic root of 1120334208 is about 1038.6021061134.

Adding to 1120334208 its reverse (8024330211), we get a palindrome (9144664419).

The spelling of 1120334208 in words is "one billion, one hundred twenty million, three hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 163 168 192 224 326 336 384 448 489 652 672 896 978 1141 1304 1344 1956 2282 2557 2608 2688 3423 3912 4564 5114 5216 6846 7671 7824 9128 10228 10432 13692 15342 15648 17899 18256 20456 20864 27384 30684 31296 35798 36512 40912 53697 54768 61368 62592 71596 73024 81824 107394 109536 122736 143192 146048 163648 214788 219072 245472 286384 327296 416791 429576 438144 490944 572768 833582 859152 981888 1145536 1250373 1667164 1718304 2291072 2500746 2917537 3334328 3436608 5001492 5835074 6668656 6873216 8752611 10002984 11670148 13337312 17505222 20005968 23340296 26674624 35010444 40011936 46680592 53349248 70020888 80023872 93361184 140041776 160047744 186722368 280083552 373444736 560167104 1120334208