Search a number
-
+
1081970736 = 243711833527
BaseRepresentation
bin100000001111101…
…1001000000110000
32210101220210211020
41000133121000300
54203441030421
6255210215440
735545412430
oct10037310060
92711823736
101081970736
115058206a0
12262424580
1314320a592
14a39a82c0
1564ec3dc6
hex407d9030

1081970736 has 160 divisors (see below), whose sum is σ = 3527774208. Its totient is φ = 277566720.

The previous prime is 1081970707. The next prime is 1081970749. The reversal of 1081970736 is 6370791801.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305005 + ... + 308531.

Almost surely, 21081970736 is an apocalyptic number.

1081970736 is a gapful number since it is divisible by the number (16) 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 1081970736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763887104).

1081970736 is an abundant number, since it is smaller than the sum of its proper divisors (2445803472).

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

1081970736 is a wasteful number, since it uses less digits than its factorization.

1081970736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 1081970736 is about 32893.3235778934. The cubic root of 1081970736 is about 1026.6092464279.

The spelling of 1081970736 in words is "one billion, eighty-one million, nine hundred seventy thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 83 84 88 112 132 154 166 168 176 231 249 264 308 332 336 462 498 528 581 616 664 913 924 996 1162 1232 1328 1743 1826 1848 1992 2324 2739 3486 3527 3652 3696 3984 4648 5478 6391 6972 7054 7304 9296 10581 10956 12782 13944 14108 14608 19173 21162 21912 24689 25564 27888 28216 38346 38797 42324 43824 49378 51128 56432 74067 76692 77594 84648 98756 102256 116391 148134 153384 155188 169296 197512 232782 271579 292741 296268 306768 310376 395024 465564 543158 585482 592536 620752 814737 878223 931128 1086316 1170964 1185072 1629474 1756446 1862256 2049187 2172632 2341928 3220151 3258948 3512892 4098374 4345264 4683856 6147561 6440302 6517896 7025784 8196748 9660453 12295122 12880604 13035792 14051568 16393496 19320906 22541057 24590244 25761208 32786992 38641812 45082114 49180488 51522416 67623171 77283624 90164228 98360976 135246342 154567248 180328456 270492684 360656912 540985368 1081970736