Search a number
-
+
1123945888 = 2513171031543
BaseRepresentation
bin100001011111110…
…0000110110100000
32220022220100220111
41002333200312200
54300212232023
6303310021104
736565245112
oct10277406640
92808810814
101123945888
115274901aa
122744a7794
1314bb16150
14a93b33b2
1568a1600d
hex42fe0da0

1123945888 has 96 divisors (see below), whose sum is σ = 2549304576. Its totient is φ = 483176448.

The previous prime is 1123945883. The next prime is 1123945897. The reversal of 1123945888 is 8885493211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1123945883) 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, 727645 + ... + 729187.

It is an arithmetic number, because the mean of its divisors is an integer number (26555256).

Almost surely, 21123945888 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 1123945888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274652288).

1123945888 is an abundant number, since it is smaller than the sum of its proper divisors (1425358688).

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

1123945888 is a wasteful number, since it uses less digits than its factorization.

1123945888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1678 counting only the distinct ones).

The product of its digits is 552960, while the sum is 49.

The square root of 1123945888 is about 33525.3022059459. The cubic root of 1123945888 is about 1039.7169742664.

The spelling of 1123945888 in words is "one billion, one hundred twenty-three million, nine hundred forty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 103 104 136 206 208 221 272 412 416 442 544 824 884 1339 1543 1648 1751 1768 2678 3086 3296 3502 3536 5356 6172 7004 7072 10712 12344 14008 20059 21424 22763 24688 26231 28016 40118 42848 45526 49376 52462 56032 80236 91052 104924 158929 160472 182104 209848 317858 320944 341003 364208 419696 635716 641888 682006 728416 839392 1271432 1364012 2066077 2542864 2701793 2728024 4132154 5085728 5403586 5456048 8264308 10807172 10912096 16528616 21614344 33057232 35123309 43228688 66114464 70246618 86457376 140493236 280986472 561972944 1123945888