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1085534208 = 21232112677
BaseRepresentation
bin100000010110011…
…1111000000000000
32210122121211222200
41000230333000000
54210344043313
6255414433200
735620613523
oct10054770000
92718554880
101085534208
11507834a10
12263662800
13143b87545
14a4254bba
1565479b73
hex40b3f000

1085534208 has 156 divisors (see below), whose sum is σ = 3421937688. Its totient is φ = 328826880.

The previous prime is 1085534207. The next prime is 1085534209. The reversal of 1085534208 is 8024355801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1085534207) and next prime (1085534209).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085534207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404166 + ... + 406842.

It is an arithmetic number, because the mean of its divisors is an integer number (21935498).

Almost surely, 21085534208 is an apocalyptic number.

1085534208 is a gapful number since it is divisible by the number (18) 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 1085534208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710968844).

1085534208 is an abundant number, since it is smaller than the sum of its proper divisors (2336403480).

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

1085534208 is a wasteful number, since it uses less digits than its factorization.

1085534208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1085534208 is about 32947.4461529266. The cubic root of 1085534208 is about 1027.7350576652.

The spelling of 1085534208 in words is "one billion, eighty-five million, five hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2048 2112 2304 2677 2816 3072 3168 4096 4224 4608 5354 5632 6144 6336 8031 8448 9216 10708 11264 12288 12672 16062 16896 18432 21416 22528 24093 25344 29447 32124 33792 36864 42832 45056 48186 50688 58894 64248 67584 85664 88341 96372 101376 117788 128496 135168 171328 176682 192744 202752 235576 256992 265023 342656 353364 385488 405504 471152 513984 530046 685312 706728 770976 942304 1027968 1060092 1370624 1413456 1541952 1884608 2055936 2120184 2741248 2826912 3083904 3769216 4111872 4240368 5482496 5653824 6167808 7538432 8223744 8480736 10964992 11307648 12335616 15076864 16447488 16961472 22615296 24671232 30153728 32894976 33922944 45230592 49342464 60307456 67845888 90461184 98684928 120614912 135691776 180922368 271383552 361844736 542767104 1085534208