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1104282880 = 2852971419
BaseRepresentation
bin100000111010010…
…0000010100000000
32211221220101022221
41001310200110000
54230144023010
6301324340424
736236151421
oct10164402400
92757811287
101104282880
11517380088
122699a4714
13147a2022c
14a6935648
1566e2edda
hex41d20500

1104282880 has 144 divisors (see below), whose sum is σ = 2781475200. Its totient is φ = 419471360.

The previous prime is 1104282863. The next prime is 1104282911. The reversal of 1104282880 is 882824011.

It is a super-2 number, since 2×11042828802 = 2438881358122188800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2635311 + ... + 2635729.

It is an arithmetic number, because the mean of its divisors is an integer number (19315800).

Almost surely, 21104282880 is an apocalyptic number.

1104282880 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 1104282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390737600).

1104282880 is an abundant number, since it is smaller than the sum of its proper divisors (1677192320).

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

1104282880 is an equidigital number, since it uses as much as digits as its factorization.

1104282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 1104282880 is about 33230.7520227876. The cubic root of 1104282880 is about 1033.6181173678.

The spelling of 1104282880 in words is "one billion, one hundred four million, two hundred eighty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 71 80 116 128 142 145 160 232 256 284 290 320 355 419 464 568 580 640 710 838 928 1136 1160 1280 1420 1676 1856 2059 2095 2272 2320 2840 3352 3712 4118 4190 4544 4640 5680 6704 7424 8236 8380 9088 9280 10295 11360 12151 13408 16472 16760 18176 18560 20590 22720 24302 26816 29749 32944 33520 37120 41180 45440 48604 53632 59498 60755 65888 67040 82360 90880 97208 107264 118996 121510 131776 134080 148745 164720 194416 237992 243020 263552 268160 297490 329440 388832 475984 486040 527104 536320 594980 658880 777664 862721 951968 972080 1189960 1317760 1555328 1725442 1903936 1944160 2379920 2635520 3110656 3450884 3807872 3888320 4313605 4759840 6901768 7615744 7776640 8627210 9519680 13803536 15553280 17254420 19039360 27607072 34508840 38078720 55214144 69017680 110428288 138035360 220856576 276070720 552141440 1104282880