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85166970 = 23573797113
BaseRepresentation
bin1010001001110…
…00101101111010
312221020221010020
411010320231322
5133300320340
612241231310
72052623130
oct504705572
9187227106
1085166970
1144090229
1224632536
131484c175
14b44d750
1577249d0
hex5138b7a

85166970 has 128 divisors (see below), whose sum is σ = 244532736. Its totient is φ = 18579456.

The previous prime is 85166969. The next prime is 85166981. The reversal of 85166970 is 7966158.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 753634 + ... + 753746.

It is an arithmetic number, because the mean of its divisors is an integer number (1910412).

Almost surely, 285166970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85166970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122266368).

85166970 is an abundant number, since it is smaller than the sum of its proper divisors (159365766).

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

85166970 is a wasteful number, since it uses less digits than its factorization.

85166970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 85166970 is about 9228.5952343788. The cubic root of 85166970 is about 439.9706764204.

The spelling of 85166970 in words is "eighty-five million, one hundred sixty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 97 105 111 113 185 194 210 222 226 259 291 339 370 485 518 555 565 582 678 679 777 791 970 1110 1130 1295 1358 1455 1554 1582 1695 2037 2373 2590 2910 3390 3395 3589 3885 3955 4074 4181 4746 6790 7178 7770 7910 8362 10185 10767 10961 11865 12543 17945 20370 20905 21534 21922 23730 25086 25123 29267 32883 35890 41810 50246 53835 54805 58534 62715 65766 75369 76727 87801 107670 109610 125430 125615 146335 150738 153454 164415 175602 230181 251230 292670 328830 376845 383635 405557 439005 460362 753690 767270 811114 878010 1150905 1216671 2027785 2301810 2433342 2838899 4055570 5677798 6083355 8516697 12166710 14194495 17033394 28388990 42583485 85166970