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1129866540 = 2235112198191
BaseRepresentation
bin100001101011000…
…0110010100101100
32220202001011111220
41003112012110230
54303221212130
6304040543340
736666464355
oct10326062454
92822034456
101129866540
1152a864500
12276481b50
13150109caa
14aa0b4d2c
15692d5410
hex4358652c

1129866540 has 144 divisors (see below), whose sum is σ = 3660840960. Its totient is φ = 259459200.

The previous prime is 1129866539. The next prime is 1129866587. The reversal of 1129866540 is 456689211.

It is a junction number, because it is equal to n+sod(n) for n = 1129866492 and 1129866501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133845 + ... + 142035.

Almost surely, 21129866540 is an apocalyptic number.

1129866540 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 1129866540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830420480).

1129866540 is an abundant number, since it is smaller than the sum of its proper divisors (2530974420).

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

1129866540 is a wasteful number, since it uses less digits than its factorization.

1129866540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1129866540 is about 33613.4874715493. The cubic root of 1129866540 is about 1041.5394299915.

The spelling of 1129866540 in words is "one billion, one hundred twenty-nine million, eight hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 121 132 165 190 209 220 228 242 285 330 363 380 418 484 570 605 627 660 726 836 1045 1140 1210 1254 1452 1815 2090 2299 2420 2508 3135 3630 4180 4598 6270 6897 7260 8191 9196 11495 12540 13794 16382 22990 24573 27588 32764 34485 40955 45980 49146 68970 81910 90101 98292 122865 137940 155629 163820 180202 245730 270303 311258 360404 450505 466887 491460 540606 622516 778145 901010 933774 991111 1081212 1351515 1556290 1711919 1802020 1867548 1982222 2334435 2703030 2973333 3112580 3423838 3964444 4668870 4955555 5135757 5406060 5946666 6847676 8559595 9337740 9911110 10271514 11893332 14866665 17119190 18831109 19822220 20543028 25678785 29733330 34238380 37662218 51357570 56493327 59466660 75324436 94155545 102715140 112986654 188311090 225973308 282466635 376622180 564933270 1129866540