Search a number
-
+
1094963040 = 253255314347
BaseRepresentation
bin100000101000011…
…1100111101100000
32211022100212220200
41001100330331200
54220302304130
6300352505200
736064014033
oct10120747540
92738325820
101094963040
11512094a36
1226684b200
13145b09132
14a55cb01a
15661dd760
hex4143cf60

1094963040 has 144 divisors (see below), whose sum is σ = 3807327888. Its totient is φ = 286460928.

The previous prime is 1094963033. The next prime is 1094963057. The reversal of 1094963040 is 403694901.

1094963040 is a `hidden beast` number, since 10 + 9 + 4 + 9 + 630 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1094962986 and 1094963004.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 69147 + ... + 83493.

It is an arithmetic number, because the mean of its divisors is an integer number (26439777).

Almost surely, 21094963040 is an apocalyptic number.

1094963040 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 1094963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903663944).

1094963040 is an abundant number, since it is smaller than the sum of its proper divisors (2712364848).

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

1094963040 is a wasteful number, since it uses less digits than its factorization.

1094963040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14421 (or 14410 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1094963040 is about 33090.2257471901. The cubic root of 1094963040 is about 1030.7020820478.

The spelling of 1094963040 in words is "one billion, ninety-four million, nine hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 848 954 1060 1272 1440 1590 1696 1908 2120 2385 2544 3180 3816 4240 4770 5088 6360 7632 8480 9540 12720 14347 15264 19080 25440 28694 38160 43041 57388 71735 76320 86082 114776 129123 143470 172164 215205 229552 258246 286940 344328 430410 459104 516492 573880 645615 688656 760391 860820 1032984 1147760 1291230 1377312 1520782 1721640 2065968 2281173 2295520 2582460 3041564 3443280 3801955 4131936 4562346 5164920 6083128 6843519 6886560 7603910 9124692 10329840 11405865 12166256 13687038 15207820 18249384 20659680 22811730 24332512 27374076 30415640 34217595 36498768 45623460 54748152 60831280 68435190 72997536 91246920 109496304 121662560 136870380 182493840 218992608 273740760 364987680 547481520 1094963040