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85030770 = 235111723659
BaseRepresentation
bin1010001000101…
…11011101110010
312221000000021210
411010113131302
5133231441040
612234300550
72051515056
oct504273562
9187000253
1085030770
1143aa7970
1224587756
1314802186
14b415c66
1576e9480
hex5117772

85030770 has 128 divisors (see below), whose sum is σ = 246343680. Its totient is φ = 18529280.

The previous prime is 85030739. The next prime is 85030801. The reversal of 85030770 is 7703058.

It is an interprime number because it is at equal distance from previous prime (85030739) and next prime (85030801).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 128701 + ... + 129359.

It is an arithmetic number, because the mean of its divisors is an integer number (1924560).

Almost surely, 285030770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85030770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123171840).

85030770 is an abundant number, since it is smaller than the sum of its proper divisors (161312910).

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

85030770 is a wasteful number, since it uses less digits than its factorization.

85030770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 85030770 is about 9221.2130438462. The cubic root of 85030770 is about 439.7360158932.

The spelling of 85030770 in words is "eighty-five million, thirty thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 17 22 23 30 33 34 46 51 55 66 69 85 102 110 115 138 165 170 187 230 253 255 330 345 374 391 506 510 561 659 690 759 782 935 1122 1173 1265 1318 1518 1870 1955 1977 2346 2530 2805 3295 3795 3910 3954 4301 5610 5865 6590 7249 7590 8602 9885 11203 11730 12903 14498 15157 19770 21505 21747 22406 25806 30314 33609 36245 43010 43494 45471 56015 64515 67218 72490 75785 90942 108735 112030 123233 129030 151570 166727 168045 217470 227355 246466 257669 333454 336090 369699 454710 500181 515338 616165 739398 773007 833635 1000362 1232330 1288345 1546014 1667270 1848495 2500905 2576690 2834359 3696990 3865035 5001810 5668718 7730070 8503077 14171795 17006154 28343590 42515385 85030770