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85012480 = 21257593
BaseRepresentation
bin1010001000100…
…11000000000000
312220222002012101
411010103000000
5133230344410
612234040144
72051410540
oct504230000
9186862171
1085012480
1143a95153
1224579054
13147c6a57
14b40d320
1576e3d3a
hex5113000

85012480 has 104 divisors (see below), whose sum is σ = 233541792. Its totient is φ = 29097984.

The previous prime is 85012471. The next prime is 85012483. The reversal of 85012480 is 8421058.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (85012483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143064 + ... + 143656.

Almost surely, 285012480 is an apocalyptic number.

85012480 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 85012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116770896).

85012480 is an abundant number, since it is smaller than the sum of its proper divisors (148529312).

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

85012480 is an equidigital number, since it uses as much as digits as its factorization.

85012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 85012480 is about 9220.2212554797. The cubic root of 85012480 is about 439.7044847644.

The spelling of 85012480 in words is "eighty-five million, twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 593 640 896 1024 1120 1186 1280 1792 2048 2240 2372 2560 2965 3584 4096 4151 4480 4744 5120 5930 7168 8302 8960 9488 10240 11860 14336 16604 17920 18976 20480 20755 23720 28672 33208 35840 37952 41510 47440 66416 71680 75904 83020 94880 132832 143360 151808 166040 189760 265664 303616 332080 379520 531328 607232 664160 759040 1062656 1214464 1328320 1518080 2125312 2428928 2656640 3036160 4250624 5313280 6072320 8501248 10626560 12144640 17002496 21253120 42506240 85012480