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1124024412 = 2237311492897
BaseRepresentation
bin100001011111111…
…0100000001011100
32220100001100121210
41002333310001130
54300222240122
6303311424420
736566023050
oct10277640134
92810040553
101124024412
115275341a5
12274525110
1314bb42b04
14a93d3c60
1568a2e40c
hex42ff405c

1124024412 has 96 divisors (see below), whose sum is σ = 3115929600. Its totient is φ = 308597760.

The previous prime is 1124024353. The next prime is 1124024413. The reversal of 1124024412 is 2144204211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124024413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386548 + ... + 389444.

It is an arithmetic number, because the mean of its divisors is an integer number (32457600).

Almost surely, 21124024412 is an apocalyptic number.

1124024412 is a gapful number since it is divisible by the number (12) 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 1124024412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557964800).

1124024412 is an abundant number, since it is smaller than the sum of its proper divisors (1991905188).

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

1124024412 is a wasteful number, since it uses less digits than its factorization.

1124024412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1124024412 is about 33526.4733009602. The cubic root of 1124024412 is about 1039.7411868301.

Adding to 1124024412 its reverse (2144204211), we get a palindrome (3268228623).

The spelling of 1124024412 in words is "one billion, one hundred twenty-four million, twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 149 186 217 298 372 434 447 596 651 868 894 1043 1302 1788 2086 2604 2897 3129 4172 4619 5794 6258 8691 9238 11588 12516 13857 17382 18476 20279 27714 32333 34764 40558 55428 60837 64666 81116 89807 96999 121674 129332 179614 193998 243348 269421 359228 387996 431653 538842 628649 863306 1077684 1257298 1294959 1726612 1885947 2514596 2589918 3021571 3771894 5179836 6043142 7543788 9064713 12086284 13381243 18129426 26762486 36258852 40143729 53524972 80287458 93668701 160574916 187337402 281006103 374674804 562012206 1124024412