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85999704 = 2337331337
BaseRepresentation
bin1010010000001…
…00000001011000
312222211020102020
411020010001120
5134003442304
612311134440
72062662000
oct510040130
9188736366
1085999704
11445a993a
1224974420
1314a811cb
14b5c9000
15783b5d9
hex5204058

85999704 has 128 divisors (see below), whose sum is σ = 259584000. Its totient is φ = 23708160.

The previous prime is 85999679. The next prime is 85999723. The reversal of 85999704 is 40799958.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255024 + ... + 255360.

It is an arithmetic number, because the mean of its divisors is an integer number (2028000).

Almost surely, 285999704 is an apocalyptic number.

85999704 is a gapful number since it is divisible by the number (84) 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 85999704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129792000).

85999704 is an abundant number, since it is smaller than the sum of its proper divisors (173584296).

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

85999704 is a wasteful number, since it uses less digits than its factorization.

85999704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 85999704 is about 9273.6025362315. The cubic root of 85999704 is about 441.3999898307.

The spelling of 85999704 in words is "eighty-five million, nine hundred ninety-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 294 337 343 372 392 434 588 651 674 686 744 868 1011 1029 1176 1302 1348 1372 1519 1736 2022 2058 2359 2604 2696 2744 3038 4044 4116 4557 4718 5208 6076 7077 8088 8232 9114 9436 10447 10633 12152 14154 16513 18228 18872 20894 21266 28308 31341 31899 33026 36456 41788 42532 49539 56616 62682 63798 66052 73129 83576 85064 99078 115591 125364 127596 132104 146258 198156 219387 231182 250728 255192 292516 346773 396312 438774 462364 511903 585032 693546 877548 924728 1023806 1387092 1535709 1755096 2047612 2774184 3071418 3583321 4095224 6142836 7166642 10749963 12285672 14333284 21499926 28666568 42999852 85999704