Search a number
-
+
1078313040 = 24335771317
BaseRepresentation
bin100000001000101…
…1100000001010000
32210011000222102000
41000101130001100
54202022004130
6254555554000
735502336540
oct10021340120
92704028360
101078313040
11503752602
1226115b900
1314252976c
14a32d5320
1564a00260
hex4045c050

1078313040 has 160 divisors (see below), whose sum is σ = 4244847360. Its totient is φ = 246468096.

The previous prime is 1078313029. The next prime is 1078313051. The reversal of 1078313040 is 403138701.

It is an interprime number because it is at equal distance from previous prime (1078313029) and next prime (1078313051).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1078312995 and 1078313013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20539 + ... + 50778.

It is an arithmetic number, because the mean of its divisors is an integer number (26530296).

Almost surely, 21078313040 is an apocalyptic number.

1078313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1078313040 is an abundant number, since it is smaller than the sum of its proper divisors (3166534320).

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

1078313040 is a wasteful number, since it uses less digits than its factorization.

1078313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71346 (or 71334 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1078313040 is about 32837.6771407479. The cubic root of 1078313040 is about 1025.4510931404.

The spelling of 1078313040 in words is "one billion, seventy-eight million, three hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 71317 142634 213951 285268 356585 427902 499219 570536 641853 713170 855804 998438 1069755 1141072 1283706 1426340 1497657 1711608 1925559 1996876 2139510 2496095 2567412 2852680 2995314 3209265 3423216 3851118 3993752 4279020 4492971 4992190 5134824 5705360 5990628 6418530 7488285 7702236 7987504 8558040 8985942 9627795 9984380 10269648 11981256 12837060 13478913 14976570 15404472 17116080 17971884 19255590 19968760 22464855 23962512 25674120 26957826 29953140 30808944 35943768 38511180 39937520 44929710 51348240 53915652 59906280 67394565 71887536 77022360 89859420 107831304 119812560 134789130 154044720 179718840 215662608 269578260 359437680 539156520 1078313040