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1124004140 = 2257489263
BaseRepresentation
bin100001011111110…
…1111000100101100
32220100000022210222
41002333233010230
54300221113030
6303311150512
736565610000
oct10277570454
92810008728
101124004140
1152751aa46
12274515438
1314bb3680c
14a93ca700
1568a283e5
hex42fef12c

1124004140 has 120 divisors (see below), whose sum is σ = 2795173920. Its totient is φ = 379593984.

The previous prime is 1124004139. The next prime is 1124004143. The reversal of 1124004140 is 414004211.

It is not an unprimeable number, because it can be changed into a prime (1124004143) 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 39 ways as a sum of consecutive naturals, for example, 4273649 + ... + 4273911.

It is an arithmetic number, because the mean of its divisors is an integer number (23293116).

Almost surely, 21124004140 is an apocalyptic number.

1124004140 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 1124004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397586960).

1124004140 is an abundant number, since it is smaller than the sum of its proper divisors (1671169780).

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

1124004140 is an equidigital number, since it uses as much as digits as its factorization.

1124004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1124004140 is about 33526.1709713471. The cubic root of 1124004140 is about 1039.7349361474.

Adding to 1124004140 its reverse (414004211), we get a palindrome (1538008351).

The spelling of 1124004140 in words is "one billion, one hundred twenty-four million, four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 89 98 140 178 196 245 263 343 356 445 490 526 623 686 890 980 1052 1246 1315 1372 1715 1780 1841 2401 2492 2630 3115 3430 3682 4361 4802 5260 6230 6860 7364 8722 9205 9604 12005 12460 12887 17444 18410 21805 23407 24010 25774 30527 36820 43610 46814 48020 51548 61054 64435 87220 90209 93628 117035 122108 128870 152635 163849 180418 213689 234070 257740 305270 327698 360836 427378 451045 468140 610540 631463 655396 819245 854756 902090 1068445 1146943 1262926 1638490 1804180 2136890 2293886 2525852 3157315 3276980 4273780 4587772 5734715 6314630 8028601 11469430 12629260 16057202 22938860 32114404 40143005 56200207 80286010 112400414 160572020 224800828 281001035 562002070 1124004140