Search a number
-
+
1040863560 = 2335114211873
BaseRepresentation
bin111110000010100…
…101000101001000
32200112120100101020
4332002211011020
54112430113220
6251141152440
734536123432
oct7602450510
92615510336
101040863560
114945a4220
122506bb720
13137846ac9
149c347652
15615a4040
hex3e0a5148

1040863560 has 128 divisors (see below), whose sum is σ = 3416376960. Its totient is φ = 251596800.

The previous prime is 1040863543. The next prime is 1040863561. The reversal of 1040863560 is 653680401.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1040863561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554784 + ... + 556656.

It is an arithmetic number, because the mean of its divisors is an integer number (26690445).

Almost surely, 21040863560 is an apocalyptic number.

1040863560 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 1040863560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708188480).

1040863560 is an abundant number, since it is smaller than the sum of its proper divisors (2375513400).

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

1040863560 is a wasteful number, since it uses less digits than its factorization.

1040863560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1040863560 is about 32262.4171444112. The cubic root of 1040863560 is about 1013.4397505776.

The spelling of 1040863560 in words is "one billion, forty million, eight hundred sixty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 421 440 660 842 1263 1320 1684 1873 2105 2526 3368 3746 4210 4631 5052 5619 6315 7492 8420 9262 9365 10104 11238 12630 13893 14984 16840 18524 18730 20603 22476 23155 25260 27786 28095 37048 37460 41206 44952 46310 50520 55572 56190 61809 69465 74920 82412 92620 103015 111144 112380 123618 138930 164824 185240 206030 224760 247236 277860 309045 412060 494472 555720 618090 788533 824120 1236180 1577066 2365599 2472360 3154132 3942665 4731198 6308264 7885330 8673863 9462396 11827995 15770660 17347726 18924792 23655990 26021589 31541320 34695452 43369315 47311980 52043178 69390904 86738630 94623960 104086356 130107945 173477260 208172712 260215890 346954520 520431780 1040863560