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2130044040 = 233455031307
BaseRepresentation
bin111111011110101…
…1110010010001000
312111110001110010000
41332331132102020
513330242402130
6551210123000
7103533034635
oct17675362210
95443043100
102130044040
119a3399683
124b5420460
1327c3a9bb7
14162c6b18c
15c6eee260
hex7ef5e488

2130044040 has 160 divisors (see below), whose sum is σ = 7179036480. Its totient is φ = 566448768.

The previous prime is 2130043991. The next prime is 2130044047. The reversal of 2130044040 is 404400312.

It is a super-2 number, since 2×21300440402 = 9074175224679043200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2130044047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1629067 + ... + 1630373.

It is an arithmetic number, because the mean of its divisors is an integer number (44868978).

Almost surely, 22130044040 is an apocalyptic number.

2130044040 is a gapful number since it is divisible by the number (20) 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 2130044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589518240).

2130044040 is an abundant number, since it is smaller than the sum of its proper divisors (5048992440).

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

2130044040 is a wasteful number, since it uses less digits than its factorization.

2130044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2130044040 is about 46152.4001542715. The cubic root of 2130044040 is about 1286.6572187672.

Adding to 2130044040 its reverse (404400312), we get a palindrome (2534444352).

The spelling of 2130044040 in words is "two billion, one hundred thirty million, forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 503 540 648 810 1006 1080 1307 1509 1620 2012 2515 2614 3018 3240 3921 4024 4527 5030 5228 6036 6535 7545 7842 9054 10060 10456 11763 12072 13070 13581 15090 15684 18108 19605 20120 22635 23526 26140 27162 30180 31368 35289 36216 39210 40743 45270 47052 52280 54324 58815 60360 67905 70578 78420 81486 90540 94104 105867 108648 117630 135810 141156 156840 162972 176445 181080 203715 211734 235260 271620 282312 325944 352890 407430 423468 470520 529335 543240 657421 705780 814860 846936 1058670 1314842 1411560 1629720 1972263 2117340 2629684 3287105 3944526 4234680 5259368 5916789 6574210 7889052 9861315 11833578 13148420 15778104 17750367 19722630 23667156 26296840 29583945 35500734 39445260 47334312 53251101 59167890 71001468 78890520 88751835 106502202 118335780 142002936 177503670 213004404 236671560 266255505 355007340 426008808 532511010 710014680 1065022020 2130044040