Search a number
-
+
1110733920 = 253251940597
BaseRepresentation
bin100001000110100…
…0111010001100000
32212102001010111100
41002031013101200
54233321441140
6302114514400
736345040212
oct10215072140
92772033440
101110733920
1151aa8691a
1226bb95a00
1314916b60a
14a77345b2
15677a6530
hex42347460

1110733920 has 144 divisors (see below), whose sum is σ = 3989971440. Its totient is φ = 280599552.

The previous prime is 1110733907. The next prime is 1110733931. The reversal of 1110733920 is 293370111.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7062 + ... + 47658.

It is an arithmetic number, because the mean of its divisors is an integer number (27708135).

Almost surely, 21110733920 is an apocalyptic number.

1110733920 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 1110733920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994985720).

1110733920 is an abundant number, since it is smaller than the sum of its proper divisors (2879237520).

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

1110733920 is a wasteful number, since it uses less digits than its factorization.

1110733920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40637 (or 40626 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 1110733920 is about 33327.6749864133. The cubic root of 1110733920 is about 1035.6269533384.

The spelling of 1110733920 in words is "one billion, one hundred ten million, seven hundred thirty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 40597 81194 121791 162388 202985 243582 324776 365373 405970 487164 608955 649552 730746 771343 811940 974328 1217910 1299104 1461492 1542686 1623880 1826865 1948656 2314029 2435820 2922984 3085372 3247760 3653730 3856715 3897312 4628058 4871640 5845968 6170744 6495520 6942087 7307460 7713430 9256116 9743280 11570145 11691936 12341488 13884174 14614920 15426860 18512232 19486560 23140290 24682976 27768348 29229840 30853720 34710435 37024464 46280580 55536696 58459680 61707440 69420870 74048928 92561160 111073392 123414880 138841740 185122320 222146784 277683480 370244640 555366960 1110733920