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85270770 = 232513312351
BaseRepresentation
bin1010001010100…
…10000011110010
312221110012111200
411011102003302
5133312131040
612243352030
72053534554
oct505220362
9187405450
1085270770
1144151212
1224682616
13148874a0
14b4794d4
157745630
hex51520f2

85270770 has 96 divisors (see below), whose sum is σ = 246564864. Its totient is φ = 20304000.

The previous prime is 85270769. The next prime is 85270771. The reversal of 85270770 is 7707258.

It is an interprime number because it is at equal distance from previous prime (85270769) and next prime (85270771).

It is a super-2 number, since 2×852707702 = 14542208432785800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85270771) by changing a digit.

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, 35095 + ... + 37445.

It is an arithmetic number, because the mean of its divisors is an integer number (2568384).

Almost surely, 285270770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85270770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123282432).

85270770 is an abundant number, since it is smaller than the sum of its proper divisors (161294094).

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

85270770 is a wasteful number, since it uses less digits than its factorization.

85270770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 85270770 is about 9234.2173463700. The cubic root of 85270770 is about 440.1493466853.

The spelling of 85270770 in words is "eighty-five million, two hundred seventy thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 1170 1209 1395 2015 2351 2418 2790 3627 4030 4702 6045 7053 7254 11755 12090 14106 18135 21159 23510 30563 35265 36270 42318 61126 70530 72881 91689 105795 145762 152815 183378 211590 218643 275067 305630 364405 437286 458445 550134 655929 728810 916890 947453 1093215 1311858 1375335 1894906 2186430 2750670 2842359 3279645 4737265 5684718 6559290 8527077 9474530 14211795 17054154 28423590 42635385 85270770