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85070076 = 223721331359
BaseRepresentation
bin1010001001000…
…01000011111100
312221002000012120
411010201003330
5133234220301
612235202540
72052040500
oct504410374
9187060176
1085070076
1144024453
12245a6450
1314817030
14b426300
157705e36
hex51210fc

85070076 has 144 divisors (see below), whose sum is σ = 257402880. Its totient is φ = 21651840.

The previous prime is 85070033. The next prime is 85070081. The reversal of 85070076 is 67007058.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236785 + ... + 237143.

It is an arithmetic number, because the mean of its divisors is an integer number (1787520).

Almost surely, 285070076 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 85070076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440).

85070076 is an abundant number, since it is smaller than the sum of its proper divisors (172332804).

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

85070076 is a wasteful number, since it uses less digits than its factorization.

85070076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 85070076 is about 9223.3440790204. The cubic root of 85070076 is about 439.8037623543.

The spelling of 85070076 in words is "eighty-five million, seventy thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 49 52 62 78 84 91 93 98 124 147 156 182 186 196 217 273 294 359 364 372 403 434 546 588 637 651 718 806 868 1077 1092 1209 1274 1302 1436 1519 1612 1911 2154 2418 2513 2548 2604 2821 3038 3822 4308 4557 4667 4836 5026 5642 6076 7539 7644 8463 9114 9334 10052 11129 11284 14001 15078 16926 17591 18228 18668 19747 22258 28002 30156 32669 33387 33852 35182 39494 44516 52773 56004 59241 65338 66774 70364 77903 78988 98007 105546 118482 130676 133548 144677 155806 196014 211092 228683 233709 236964 289354 311612 392028 434031 457366 467418 545321 578708 686049 868062 914732 934836 1012739 1090642 1372098 1635963 1736124 2025478 2181284 2744196 3038217 3271926 4050956 6076434 6543852 7089173 12152868 14178346 21267519 28356692 42535038 85070076