Search a number
-
+
1113973560 = 23345749117
BaseRepresentation
bin100001001100101…
…1110001100111000
32212122010201110000
41002121132030320
54240134123220
6302312153000
736414422220
oct10231361470
92778121400
101113973560
11521899907
12271098760
13149a3406b
14a7d39080
1567be6390
hex4265e338

1113973560 has 160 divisors (see below), whose sum is σ = 4279160160. Its totient is φ = 254617344.

The previous prime is 1113973537. The next prime is 1113973571. The reversal of 1113973560 is 653793111.

1113973560 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 97 + 3 + 560 = 666.

It is a super-3 number, since 3×11139735603 (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1879 + ... + 47238.

It is an arithmetic number, because the mean of its divisors is an integer number (26744751).

Almost surely, 21113973560 is an apocalyptic number.

1113973560 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 1113973560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139580080).

1113973560 is an abundant number, since it is smaller than the sum of its proper divisors (3165186600).

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

1113973560 is a wasteful number, since it uses less digits than its factorization.

1113973560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49147 (or 49134 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 1113973560 is about 33376.2424487838. The cubic root of 1113973560 is about 1036.6328353821.

The spelling of 1113973560 in words is "one billion, one hundred thirteen million, nine hundred seventy-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 49117 98234 147351 196468 245585 294702 343819 392936 442053 491170 589404 687638 736755 884106 982340 1031457 1178808 1326159 1375276 1473510 1719095 1768212 1964680 2062914 2210265 2652318 2750552 2947020 3094371 3438190 3536424 3978477 4125828 4420530 5157285 5304636 5894040 6188742 6630795 6876380 7956954 8251656 8841060 9283113 10314570 10609272 12377484 13261590 13752760 15471855 15913908 17682120 18566226 19892385 20629140 24754968 26523180 27849339 30943710 31827816 37132452 39784770 41258280 46415565 53046360 55698678 61887420 74264904 79569540 92831130 111397356 123774840 139246695 159139080 185662260 222794712 278493390 371324520 556986780 1113973560