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85707840 = 2635731223
BaseRepresentation
bin1010001101111…
…00110001000000
312222021102001110
411012330301000
5133420122330
612301003320
72060335041
oct506746100
9188242043
1085707840
114441a629
1224853540
13149ab3ca
14b5508c8
1577cedb0
hex51bcc40

85707840 has 112 divisors (see below), whose sum is σ = 276075648. Its totient is φ = 22523904.

The previous prime is 85707827. The next prime is 85707857. The reversal of 85707840 is 4870758.

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 15 ways as a sum of consecutive naturals, for example, 69469 + ... + 70691.

Almost surely, 285707840 is an apocalyptic number.

85707840 is a gapful number since it is divisible by the number (80) 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 85707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138037824).

85707840 is an abundant number, since it is smaller than the sum of its proper divisors (190367808).

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

85707840 is a wasteful number, since it uses less digits than its factorization.

85707840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 85707840 is about 9257.8528828233. The cubic root of 85707840 is about 440.9000858588.

The spelling of 85707840 in words is "eighty-five million, seven hundred seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 146 160 192 219 240 292 320 365 438 480 584 730 876 960 1095 1168 1223 1460 1752 2190 2336 2446 2920 3504 3669 4380 4672 4892 5840 6115 7008 7338 8760 9784 11680 12230 14016 14676 17520 18345 19568 23360 24460 29352 35040 36690 39136 48920 58704 70080 73380 78272 89279 97840 117408 146760 178558 195680 234816 267837 293520 357116 391360 446395 535674 587040 714232 892790 1071348 1174080 1339185 1428464 1785580 2142696 2678370 2856928 3571160 4285392 5356740 5713856 7142320 8570784 10713480 14284640 17141568 21426960 28569280 42853920 85707840