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1130141460 = 22357592773
BaseRepresentation
bin100001101011100…
…1001011100010100
32220202120010122010
41003113021130110
54303304011320
6304050504220
740002021030
oct10327113424
92822503563
101130141460
1152aa32008
12276595070
131501a5176
14aa1471c0
156933bae0
hex435c9714

1130141460 has 144 divisors (see below), whose sum is σ = 3683546496. Its totient is φ = 253611264.

The previous prime is 1130141459. The next prime is 1130141483. The reversal of 1130141460 is 641410311.

It is a super-2 number, since 2×11301414602 = 2554439439221863200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1461634 + ... + 1462406.

It is an arithmetic number, because the mean of its divisors is an integer number (25580184).

Almost surely, 21130141460 is an apocalyptic number.

1130141460 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 1130141460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841773248).

1130141460 is an abundant number, since it is smaller than the sum of its proper divisors (2553405036).

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

1130141460 is a wasteful number, since it uses less digits than its factorization.

1130141460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1130141460 is about 33617.5766526976. The cubic root of 1130141460 is about 1041.6238992006.

Adding to 1130141460 its reverse (641410311), we get a palindrome (1771551771).

The spelling of 1130141460 in words is "one billion, one hundred thirty million, one hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 59 60 70 84 105 118 140 177 210 236 295 354 413 420 590 708 773 826 885 1180 1239 1546 1652 1770 2065 2319 2478 3092 3481 3540 3865 4130 4638 4956 5411 6195 6962 7730 8260 9276 10443 10822 11595 12390 13924 15460 16233 17405 20886 21644 23190 24367 24780 27055 32466 34810 41772 45607 46380 48734 52215 54110 64932 69620 73101 81165 91214 97468 104430 108220 121835 136821 146202 162330 182428 208860 228035 243670 273642 292404 319249 324660 365505 456070 487340 547284 638498 684105 731010 912140 957747 1276996 1368210 1462020 1596245 1915494 2690813 2736420 3192490 3830988 4788735 5381626 6384980 8072439 9577470 10763252 13454065 16144878 18835691 19154940 26908130 32289756 37671382 40362195 53816260 56507073 75342764 80724390 94178455 113014146 161448780 188356910 226028292 282535365 376713820 565070730 1130141460