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1124413120 = 26516321557
BaseRepresentation
bin100001100000101…
…0010111011000000
32220100210002211101
41003001102323000
54300322204440
6303324024144
736602232235
oct10301227300
92810702741
101124413120
1152777a246
12274692054
1314bc4aa0c
14a949578c
1568aa969a
hex43052ec0

1124413120 has 56 divisors (see below), whose sum is σ = 2694060144. Its totient is φ = 446985216.

The previous prime is 1124413111. The next prime is 1124413123. The reversal of 1124413120 is 213144211.

It is not an unprimeable number, because it can be changed into a prime (1124413123) 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 7 ways as a sum of consecutive naturals, for example, 41382 + ... + 62938.

Almost surely, 21124413120 is an apocalyptic number.

1124413120 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 1124413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347030072).

1124413120 is an abundant number, since it is smaller than the sum of its proper divisors (1569647024).

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

1124413120 is a wasteful number, since it uses less digits than its factorization.

1124413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21737 (or 21727 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1124413120 is about 33532.2698307168. The cubic root of 1124413120 is about 1039.8610267950.

Adding to 1124413120 its reverse (213144211), we get a palindrome (1337557331).

The spelling of 1124413120 in words is "one billion, one hundred twenty-four million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 163 320 326 652 815 1304 1630 2608 3260 5216 6520 10432 13040 21557 26080 43114 52160 86228 107785 172456 215570 344912 431140 689824 862280 1379648 1724560 3449120 3513791 6898240 7027582 14055164 17568955 28110328 35137910 56220656 70275820 112441312 140551640 224882624 281103280 562206560 1124413120