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1124004024 = 23321113109169
BaseRepresentation
bin100001011111110…
…1111000010111000
32220100000022122200
41002333233002320
54300221112044
6303311150200
736565606443
oct10277570270
92810008580
101124004024
1152751a950
12274515360
1314bb36750
14a93ca65a
1568a28369
hex42fef0b8

1124004024 has 96 divisors (see below), whose sum is σ = 3576409200. Its totient is φ = 314403840.

The previous prime is 1124004017. The next prime is 1124004029. The reversal of 1124004024 is 4204004211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1124003988 and 1124004006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124004029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44289 + ... + 64880.

Almost surely, 21124004024 is an apocalyptic number.

It is an amenable number.

1124004024 is an abundant number, since it is smaller than the sum of its proper divisors (2452405176).

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

1124004024 is a wasteful number, since it uses less digits than its factorization.

1124004024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109205 (or 109198 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1124004024 is about 33526.1692413553. The cubic root of 1124004024 is about 1039.7349003796.

Adding to 1124004024 its reverse (4204004211), we get a palindrome (5328008235).

The spelling of 1124004024 in words is "one billion, one hundred twenty-four million, four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 109169 218338 327507 436676 655014 873352 982521 1200859 1310028 1419197 1965042 2401718 2620056 2838394 3602577 3930084 4257591 4803436 5676788 7205154 7860168 8515182 9606872 10807731 11353576 12772773 14410308 15611167 17030364 21615462 25545546 28820616 31222334 34060728 43230924 46833501 51091092 62444668 86461848 93667002 102182184 124889336 140500503 187334004 281001006 374668008 562002012 1124004024