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1140124020 = 223573477823
BaseRepresentation
bin100001111110100…
…1110100101110100
32221110100022010120
41003331032211310
54313332432040
6305044451540
740152615510
oct10375164564
92843308116
101140124020
11535630062
122799a9bb0
1315228bac9
14ab5c5140
156a15e7d0
hex43f4e974

1140124020 has 96 divisors (see below), whose sum is σ = 3659378688. Its totient is φ = 259815552.

The previous prime is 1140124003. The next prime is 1140124033. The reversal of 1140124020 is 204210411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 141829 + ... + 149651.

It is an arithmetic number, because the mean of its divisors is an integer number (38118528).

Almost surely, 21140124020 is an apocalyptic number.

1140124020 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 1140124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829689344).

1140124020 is an abundant number, since it is smaller than the sum of its proper divisors (2519254668).

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

1140124020 is a wasteful number, since it uses less digits than its factorization.

1140124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189 (or 8187 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1140124020 is about 33765.7225600164. The cubic root of 1140124020 is about 1044.6818075363.

Adding to 1140124020 its reverse (204210411), we get a palindrome (1344334431).

The spelling of 1140124020 in words is "one billion, one hundred forty million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 347 420 694 1041 1388 1735 2082 2429 3470 4164 4858 5205 6940 7287 7823 9716 10410 12145 14574 15646 20820 23469 24290 29148 31292 36435 39115 46938 48580 54761 72870 78230 93876 109522 117345 145740 156460 164283 219044 234690 273805 328566 469380 547610 657132 821415 1095220 1642830 2714581 3285660 5429162 8143743 10858324 13572905 16287486 19002067 27145810 32574972 38004134 40718715 54291620 57006201 76008268 81437430 95010335 114012402 162874860 190020670 228024804 285031005 380041340 570062010 1140124020