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1085006076 = 2237113137879
BaseRepresentation
bin100000010101011…
…1110000011111100
32210121122000112020
41000222332003330
54210230143301
6255355240140
735613254010
oct10052760374
92717560466
101085006076
11507504140
12263449050
13143a3103b
14a4158540
15653c3436
hex40abe0fc

1085006076 has 96 divisors (see below), whose sum is σ = 3258286080. Its totient is φ = 272721600.

The previous prime is 1085006063. The next prime is 1085006101. The reversal of 1085006076 is 6706005801.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9705 + ... + 47583.

It is an arithmetic number, because the mean of its divisors is an integer number (33940480).

Almost surely, 21085006076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085006076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629143040).

1085006076 is an abundant number, since it is smaller than the sum of its proper divisors (2173280004).

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

1085006076 is a wasteful number, since it uses less digits than its factorization.

1085006076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37935 (or 37933 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1085006076 is about 32939.4304140190. The cubic root of 1085006076 is about 1027.5683600720.

The spelling of 1085006076 in words is "one billion, eighty-five million, six thousand, seventy-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 651 682 868 924 1023 1302 1364 2046 2387 2604 4092 4774 7161 9548 14322 28644 37879 75758 113637 151516 227274 265153 416669 454548 530306 795459 833338 1060612 1174249 1250007 1590918 1666676 2348498 2500014 2916683 3181836 3522747 4696996 5000028 5833366 7045494 8219743 8750049 11666732 12916739 14090988 16439486 17500098 24659229 25833478 32878972 35000196 38750217 49318458 51666956 77500434 90417173 98636916 155000868 180834346 271251519 361668692 542503038 1085006076