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85994280 = 23325298237
BaseRepresentation
bin1010010000000…
…10101100101000
312222210221222100
411020002230220
5134003304110
612311053400
72062640121
oct510025450
9188727870
1085994280
11445a5859
1224971260
1314a7b8b8
14b5c7048
157839bc0
hex5202b28

85994280 has 96 divisors (see below), whose sum is σ = 289153800. Its totient is φ = 22138368.

The previous prime is 85994267. The next prime is 85994287. The reversal of 85994280 is 8249958.

It can be written as a sum of positive squares in 4 ways, for example, as 73925604 + 12068676 = 8598^2 + 3474^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85994287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6322 + ... + 14558.

Almost surely, 285994280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85994280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144576900).

85994280 is an abundant number, since it is smaller than the sum of its proper divisors (203159520).

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

85994280 is a wasteful number, since it uses less digits than its factorization.

85994280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8283 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 85994280 is about 9273.3100886361. The cubic root of 85994280 is about 441.3907099387.

The spelling of 85994280 in words is "eighty-five million, nine hundred ninety-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 8237 10440 16474 24711 32948 41185 49422 65896 74133 82370 98844 123555 148266 164740 197688 238873 247110 296532 329480 370665 477746 494220 593064 716619 741330 955492 988440 1194365 1433238 1482660 1910984 2149857 2388730 2866476 2965320 3583095 4299714 4777460 5732952 7166190 8599428 9554920 10749285 14332380 17198856 21498570 28664760 42997140 85994280